Inventory Control Management Only

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					Sheet: Introduction           File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                        Page 1 of 58

         Simulating Inventory Control with Orders that Cross during Lead Time
                                       sS.xls Version 1.4 03/22/02
                                        John.O.McClain@cornell.edu
                                  Johnson Graduate School of Management
                                             Cornell University
                                              Ithaca NY 14853
This workbook is intended for teaching or research. You are welcome to use it in any manner,
and change it as you see fit. It comes without any guarantee whatsoever, and is distributed
free of charge. Changes are frequent, so check back frequently for a new version.

Most inventory control systems use a formula for lead-time demand to set safety stock levels.
Research has uncovered situations where that method leads to large and expensive errors.*
In particular, if replenishment orders might not arrive in the same order in which they are placed, then
the above method will leave you with too much inventory if your objective is a high level of protection,
and too little inventory if you are aiming to run out of stock frequently. That is, the variance of the
inventory level is smaller than the variance of lead-time demand.
     *See Robinson, L.R, J.R. Bradley and L.J. Thomas, "Consequences of Order Crossover under
     Order-up-to Inventory Policies." M&SOM Manufacturing and Service Operations Management ,
     Volume 3, No. 3 (2001), pp.175-188.

This workbook contains a macro, written in Visual Basic, that allows you to simulate the inventory control
system known variously as the Min-Max system, the (s,S) system, or the reorder-level, order-up-to system.
Two versions are available in the simulation:
  > Periodic review: orders may be placed only at specific points of time, such as daily or weekly.
  > Continuous review: orders are placed instantly, as soon as inventory reaches the reorder level.
In both cases, the state of the system is tracked at all times, so that accurate costs may be calculated.

The word "order" refers to an action taken to replenish the supply of an item that is stocked in inventory
and sold to customers. The word "demand" refers to a customer wanting to buy one unit of the item.
A "backorder" is an unsatisfied demand for which the customer will take delivery at a later time.
The simulation assumes that all customers are willing to wait if their demand is backordered.

The simulation allows orders to cross. It assumes that the lead time of one order is independent of
that for any other order, and therefore crossing occurs whenever the lead time for an order is longer
than the interval between orders plus the lead time for the next order.

Please note that the independence assumption is not true in some real circumstances. For example,
if both orders are shipped by rail, and if one freight car cannot pass another, the orders cannot cross.
However, in that case lead times are also not independent, but rather are positively correlated, so
models that assume independence (i.e. most inventory models) are also incorrect.
Sheet: Introduction          File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                        Page 2 of 58

Contents: These are the sheets in this workbook.
  Introduction (this sheet), with the following sections:
          1. Measuring Inventory and Shortages at Time of Delivery
               (a) Shortfall below Reorder Level at Delivery: Shortfall@Deliv
               (b) Distribution of Shortfall@Delivery if Orders do not Cross
                          (i) Continuous Review
                          (ii) Periodic Review
          2. Inventory and Shortages at Any Time
               (a) Shortfall below Order-up-to Level
               (b) Average Inventory and Shortages
          3. Cost of Inventory, Backorders and Ordering:
          4. Optimization
   Simulate where you set up the model and run the simulation.
   Graphs      where simulation results are displayed in detail for any run stored on the Data sheet.
   Trace       where the first part of the most recent simulation run is shown in a table and a graph.
   Data        where the results of all simulation runs are stored, until you erase them.
   Other sheets in this book, if any, may contain data and graphs from previous simulation experiments.

1. Measuring Inventory and Shortages at Time of Delivery:
        s   reorder level, or Min                Inv On-hand inventory
       S    order-up-to level, or Max            BO Number of units backordered to customers
       Q    S-s                              NetInv = Inv - BO (can be positive or negative)
       L    A value of lead time         InvPosition NetInv + Outstanding Orders
       D    A value of one-period demand          DL Demand that occurs during lead time
 mL, VarL   Average & Variance of L       mDL, VarDL Average & Variance of DL
 mD, VarD   Average & Variance of D

(a) Shortfall below Reorder Level at Delivery: Shortfall@Deliv
     Protection against shortages focuses attention on inventory at the time a replenishment order
     arrives. Safety stock governs the likelihood that backorders will exist at that instant.
     In the simulation, @Deliv refers to events that happen just before replenishments occur.
     However, rather than tracking inventory, which can be positive or negative, the simulation monitors
     "Shortfall below s at delivery," defined as
         1) Shortfall@Deliv = s - NetInv@Deliv at the time (just before) replenishment occurs.
     This is a non-negative variable since net inventory is at or below the reorder level, s , whenever any
     order is outstanding (i.e. not yet received.)
     From Shortfall@Deliv we may compute certain performance measures:
         2) NetInv@Deliv = s - Shortfall@Deliv
         3) Inv@Deliv = MAX(0, s - Shortfall@Deliv )
         4) BO@Deliv = MAX(0, Shortfall@Deliv - s ) = Inv@Deliv - s + Shortfall@Deliv
         5) P(BO@Deliv >0) = P( Shortfall@Deliv > s )
     The latter may also be expressed as a rate, although the meaning is a little confusing. It is NOT the
     rate at which backorders occur, but rather "occurrences per unit time" of the joint event
     "replenishment arrives, backorders exist," or "replenishment arrives too late to prevent backorders."
     That event is denoted "BO@Deliv>0 " and its occurrence rate is
         6) Rate(BO@Deliv>0 ) = P( Shortfall@Deliv > s )×(Replenishment Orders Per Unit Time )
Sheet: Introduction            File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                            Page 3 of 58

(b) Distribution of Shortfall@Delivery if Orders do not Cross
    The following gives the classical argument for the distribution of shortfall, assuming that orders do
    not cross, and also assuming that lead times are independent, two assumptions which are convenient
    but contradictory. These numbers may be compared to the actual values from the simulation to see
    how much is lost if the classical rules are used.
        With no order crossing, when an order arrives, all prior replenishment orders have already arrived,
    and no subsequent ones have. At the time that order was placed, Inventory Position included the prior
    orders, so to compute inventory at delivery, we only have to account for the demand that occurs in the
    lead time (or lag time) between placing and receiving the order. That is,
        7) NetInv@Deliv = InvPosition@Ordering - DL and
        8) Shortfall@Deliv = s - InvPosition@Ordering + DL if orders do not cross (substitute 7 into 1).

    (i) Continuous Review
    Under continuous review, an order is placed the instant that inventory position reaches the reorder
    level. That is,
        9) InvPosition@Ordering = s for continuous review, so
       10) Shortfall@Deliv = DL for continuous review if orders do not cross            (substitute 9 into 8).
 >> Shortfall@Deliv equals lead-time demand for continuous review, if orders do not cross.
    The probability that backorders occur before an order arrives is
       11) P(BO@Deliv >0) = P( DL > s )                                                (substitute 10 into 5).
    The following formulas assume that Lead Times are independent and identically distributed, and that
    the same is true for Demands, and that Lead Times are independent of Demands. They are, in fact, the
    well-known formulas for the mean and variance of lead-time demand.
       12) E[Shortfall@Deliv ] = mD mL and
       13) Var[Shortfall@Deliv ] = mL VarD + mD VarL for continuous review if orders do not cross.
                                               2



    (ii) Periodic Review
    Under periodic review, inventory position can reach the reorder point at a time t that is before the end
    of the period, so inventory position will be at or below the reorder point when the order is placed.
            If t is at the end of the period, the order is placed at the instant that the reorder level is reached.
            If t is just after the beginning of the period, a one-period demand occurs before ordering.
    This leads to the following inequality:
       14) s - D ≤ InvPosition@Ordering ≤ s
    Substituting 14 into 8,
       15) DL ≤ Shortfall@Deliv ≤ DL + D = DL+1 for periodic review if orders do not cross.
 >> Shortfall@Deliv is between the demand during lead time and the demand during one period longer
    than lead time, if orders do not cross. Also, because the probability above s is a nonincreasing
    function of s ,
       16) P(DL > s ) ≤ P(Shortfall@Deliv >s ) ≤ P( DL + D' - 1> s ) , and so
       17) P(DL > s ) ≤ P(BO@Deliv >0) ≤ P( DL + D' - 1> s )                                  (substitute 16 into 5).
    The expected value of 15 yields
       18) mD mL ≤ Shortfall@Deliv ≤ mD (1+mL)
    The arguments leading to equation 15 also yield a lower limit for the variance:
       19) Var[Shortfall@Deliv ] ≤ mL VarD + mD VarL
                                                       2

    The upper limit in equation 15 also yields a variance estimate, but it is not necessarily an upper limit:
Sheet: Introduction          File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                      Page 4 of 58

      20) Var[Shortfall@Deliv ] ≈ (1 + mL) VarD + mD VarL
                                                    2




2. Inventory and Shortages at Any Time
    The simulation also measures the inventory level after every event. Inventory is constant between
    events (by definition, since an event is defined as a change of state), so the distribution is
    tabulated by accumulating the time that each state persists.

(a) Shortfall below Order-up-to Level
      "Shortfall below S" is defined at every time in the simulation as
        20) Shortfall = S - NetInv.
     Notice that Shortfall uses a different reference point than Shortfall@Delivery, namely S rather
     than s . This is necessary to avoid negative values.
     From Shortfall , we may compute more performance measures:
        21) NetInv = S - Shortfall.
        22) Inv = MAX(0, S - Shortfall )
        23) BO = MAX(0, Shortfall - S ) = Inv - S + Shortfall
        24) P(BO >0) = P( Shortfall > S )
     Since a demand is backordered if it arrives when inventory is zero, the average number of demands
     backordered per unit time is
        25) Rate(BO ) = P( Shortfall ≥ S )×(Demand Rate )
     We can also calculate the average time that a backorder endures which, according to Little's Law,
     is proportional to the average number of backorders waiting.
             Average duration of a Backorder = (Average # Backordered)(Rate of Backorders Occuring)
        26) Av(Wait per BO ) = Av(BO ){Av(DemandRate ) × P{Shortfall ≥S )}
     If you want to include in this average the fact that many customers have zero backorder time, then
        27) Av(Wait per Demand ) = Av(BO )Av(DemandRate ) (includes zero-length backorders.)

(b) Average Inventory and Shortages
    Average inventory is greater when computed over time than when computed just before a delivery.
    Inventory just before delivery can never be above the reorder point, whereas it can at other times.
    The average inventory over time will include the "sawtooth pattern" commonly seen in textbooks,
    caused by cycle stock represented by the order quantity. Therefore the exact theoretical expression
    for average inventory and backorders is elusive, and I will not try to include it here. However the
    simulation results yield averages from the distribution of Shortfall, using equations 22 through 25.
Sheet: Introduction          File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                       Page 5 of 58

3. Cost of Inventory, Backorders and Ordering:
    The simplest model has linear inventory and backorder costs. However, what constitutes backorder
    cost? There may be a cost per unit time for backorders, and a fixed cost whenever a backorder
    occurs. There also might be a fixed cost per unit time that accrues as long as there are any
    backorders. If the gap between s and S is changed, the number of orders placed will change, which
    changes the cost of ordering. A model that covers all of these costs is
      28) Average Cost per Period = C1 × Av(Inv ) + C2 × Av(BO ) + C3 × mD × P(BO ≥ 0)
                                         + C4 × P(BO >0) + C5 × Av(OrderRate)

4. Optimization
    The value of Q (the gap between s and S ) is held constant during a simulation. (In fact, it operates as
    if the order-up-to level were S =0 with reorder level s = -Q .) However, the output may be used
    to represent any (s,S ) system that has S-s=Q . You can find the optimal value of s among all
    systems that have the same Q as the one in your simulation, and then set S=s+Q .
        On the Graphs sheet, an Excel Table calculates costs for a range of values of s . A graph shows the
    results. You may input the first value of s and the interval between points. To home in on the
    optimum, adjust the first value until the graph is U-shaped, and then lower the interval to 1.
        However, the result is only optimal for the value of Q that you simulated. To find an overall
    optimum, you must repeat the simulation for a series of values of Q , and use the table to find the
    best reorder level for each Q . Record those values and select the one with lowest cost.
Sheet: Simulate                                  File 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                         Page 6 of 58

          Simulation of a Min-Max (s,S) Inventory System in Continuous Time: Discrete or Continuous Review

                                 Periodic Review. Q=30, D=10, varD=10
      Current Simulation Design:
                                 Gamma InterDemandTime: Mu= 0.1, Std=0.1. Discrete LT: Mu= 3, Std=1.41
Change the design by entering numbers in the yellow boxes, and by checking or unchecking the selection boxes.

          Type of Review            Inter-demand time (IDT)             Lead Time (LT)           Theoretical Values     Mean       Var StDev
                                                                                                               LTD      30.00   230.00 15.166
  Periodic Review?         TRUE    Gamma IDT?         TRUE        Gamma LT?         FALSE
                                                                                                         LT+1 Dem       40.00   240.00 15.492
         Periodic Review                   Gamma IDT               Gamma LT (not in use)                         LT      3.00     2.00 1.414
                                           mean     0.1                mean        3             Inter-Demand Time        0.1     0.01 0.100
                                           StDev    0.1               StDev 1.41421356               Demand/period      10.00    10.00 3.162
    Minimum Order Quantity          Discrete IDT (not in use)            Discrete LT
    Minimum Q = S-s   30                     IDT    f(IDT)                  LT     f(LT)         Conversion Formulas:
                                         0            0.5               0                                               Mean       Var StDev
                                   0.033333333                          1            0.2         Demand per Period:     10       10    3.162
                                   0.066666667                          2            0.2         Inter-demand Time:     0.1     0.01   0.100
          Run Controls                  0.1                             3            0.2
        Runin Periods   5,000      0.133333333                          4            0.2          Inter-Demand Time     0.1     0.01      0.100
         Run Periods   50,000      0.166666667                          5            0.2              Demand/period     10       10       3.162
             RNSeed     5235            0.2           0.5               6             0
                                           mean       0.1                 mean        3
                                           StDev      0.1                StDev 1.41421356




        Simulate                   Click here to view simulation results.

    Delete Old Data                Click here to view graphs of the distributions
Sheet: Graphs                                       File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                      Page 7 of 58

                  Periodic Review, Q=50. D=10 (Var=10). Discrete LT: Mu= 3, Std=1.41                              View Performance Summary
                   Gamma InterDemandTime: Mu= 0.1, Std=0.1 Crossings/Delivery=0                                   View Graphs of Distributions
                                                                                                    Links            View Simulation Data
                               EOQ = 32                  Number of columns of data available:           8           Go To Simulation Design
              Min order Qty, Q = S-s = 50                        Use data in column number:             8        Choose your data set here
                Order-up-to level, S = 80                  Reorder trigger level (to vary): s =        30        Set the Reorder Level here

  Performance Statistics for                  Shortfall
                                  LTDem                   LT+1 Dem      Shortfall Unit Costs
         s=30, S=80                           @Deliv.
                      Mean =      29.980       35.014       41.017       57.046
                    Variance = 230.033        242.520      239.770      489.283
                 E[Inventory] =    6.476        4.293        2.138       24.736    $    1.00 Inventory Cost per unit time
               E[Backorders] =     6.456        9.307       12.156        1.783    $    9.00 Backorder Cost per unit time
            P[Backorders>0] =      0.478        0.577        0.697        0.158    $      -   Cost whenever Backorders > 0
             Backorder Rate =      0.087        0.105        0.127        1.684    $      -   Cost per unit Backordered
      Demands=500784, Orders=9100, Periods=50000, Orders/Period=          0.182    $ 50.00 Fixed Cost of Ordering
                                        For s=30, S=80, Total Cost per Unit Time = $ 49.88
                                Crossings=0              Crossings per Delivery =       0.000

Analysis of Service Level Accuracy.                       Target Probability of No Backorders:        0.95       This target's meaning:
                                                         Shortfall                                               For "Shortfall",
 Using simulated distribution of:           LTDem                   LT+1 Dem        Shortfall
                                                         @Deliv.                                                 it means "% of time during which
 To achieve target probability, s=            55            61           66            44                        there are some backorders."
                        S=s+Q:               105           111          116            94                        For "Shorfall@Delivery",
        Actual P(no BO@Deliv):              0.895         0.956        0.984         0.696                       it means "% of orders for
      Actual P(no BO, time av.):            0.989         0.997        0.999         0.952                       which some backorders exist
               Predicted by LTD             0.956         0.988        0.996         0.792                       when the order arrives."
         Predicted by LT+1 Dem              0.795         0.895        0.949         0.580

Search for Minimum Cost Reorder Level (s) holding constant S-s=50

         53                                            Make sure "Calculation" is set to "Automatic". If it is
         52                                            not, then press F9 to recalculate the cost curve
         51
  Cost




         50                                            whenever you change anything.
                                                                                                                 Graph of Cost vs s , starting at
         49
         48                                                       First value of s for the graph:      35        this value, and incrementing by
         47                                                            Interval between values:         1        this amount.
              0        20        40           60                     Minimum Cost = $47.83
                      Reorder Level, s
                                                                         at s =37, S =87
Sheet: Graphs                                                  File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                      Page 8 of 58

                    Periodic Review, Q=50. D=10 (Var=10). Discrete LT: Mu= 3, Std=1.41                                       View Performance Summary
                     Gamma InterDemandTime: Mu= 0.1, Std=0.1 Crossings/Delivery=0                                            View Graphs of Distributions
                                                                                                                  Links        View Simulation Data
                          Graphs of Distributions for simulation run number 8                                                  Go To Simulation Design
 Periodic Review, Q=50. D=10 (Var=10). Discrete LT: Mu= 3, Std=1.41
 Gamma InterDemandTime: Mu= 0.1, Std=0.1 Crossings/Delivery=0
  0.03                                                                                                                      Change which simulation
                                                                                                     LTDem                  is graphed by changing the
 0.025                                                                                               Shortfall @Deliv.      column number in cell G5.
  0.02                                                                                               LT+1 Dem
 0.015
  0.01
 0.005
        0
            0       10    20    30      40       50    60      70     80    90 100 110 120 130 140 150 160 170
  0.03
                                                                                                       LTDem
 0.025                                                                                                 LT+1 Dem
  0.02                                                                                                 Shortfall                          Page Down for
 0.015                                                                                                                                      cumulative
  0.01                                                                                                                                     distributions
                                                                                                                                                 
 0.005
        0
            0       10    20    30      40       50    60      70     80    90 100 110 120 130 140 150 160 170
                LT: Mean = 3, CV = 0.471, Discrete                               IDT: Mean = 0.1, CV = 1, Gamma




    0           1         2         3        4        5         6          0.01 0.055   0.1   0.145 0.19 0.235 0.28
Periodic Review, Q=50. D=10 (Var=10). Discrete LT: Mu= 3, Std=1.41                                    LTDem
Gamma InterDemandTime: Mu= 0.1, Std=0.1 Crossings/Delivery=0
                                                                                                      Shortfall @Deliv.
1.00
                                                                                                      LT+1 Dem
 0.80
 0.60                                                                                                 Shortfall

 0.40                                                               Cumulative Distributions
 0.20
 0.00
        0       10       20    30    40      50   60      70     80    90 100 110 120 130 140 150 160 170
Sheet: Graphs                           File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                              Page 9 of 58

            Periodic Review, Q=50. D=10 (Var=10). Discrete LT: Mu= 3, Std=1.41                  View Performance Summary
             Gamma InterDemandTime: Mu= 0.1, Std=0.1 Crossings/Delivery=0                       View Graphs of Distributions
                                                                                    Links         View Simulation Data
Description of Simulation Data being Viewed:                                                      Go To Simulation Design
                                     Inputs:                            Outputs:
                               Runin Periods       5,000                SimTime       50,000
                                Run Periods       50,000               Demands       500,784
                                     Q = S-s           50                 Orders       9,100
                               Exp. Demand             10              Deliveries      9,100
                          Var. Dmd (approx)            10              Crossings           0
                                    RNSeed          5235              Cross/Deliv          0
                           Periodic Review?        TRUE
                                Gamma LT?         FALSE
                               Gamma IDT?          TRUE
                    Exp. Inter-Demand Time            0.1           Shortfall, Avg. 57.046254
                  StDev Inter-Demand Time             0.1             Shortfall, var. 489.28271
                                     Exp. LT            3    Shortfall@Deliv. Avg. 35.013956
                                   StDev LT 1.41421356       Shortfall@Deliv. var. 242.52035
                                    Exp LTD            30                LTD Avg.      29.98033
                                    Var LTD          230                  LTD var. 230.03291
                                Exp D(LT+1)            40          LT+1 Dem Avg 41.017363
                                Var D(LT+1)          240           LT+1 Dem Var 239.76981
                                Input Distributions: Below             Output Distributions: Farther Below

Inter-Demand Time Distribution: Ignore Discrete. Gamma used.                                    Distribution Actually Used:
                                                Gamma Parameters: 1.000       0.100        IDT: Mean = 0.1, CV = 1, Gamma
                  Discrete IDT      F(IDT)        f(IDT)          Gamma IDT         f(IDT)          Gamma IDT         f(IDT)
                         0.000       0.500        0.500                 0.010       9.048                  0.010      9.048
                         0.033       0.500        0.000                 0.055       5.769                  0.055      5.769
                         0.067       0.500        0.000                 0.100       3.679                  0.100      3.679
                         0.100       0.500        0.000                 0.145       2.346                  0.145      2.346
                         0.133       0.500        0.000                 0.190       1.496                  0.190      1.496
                         0.167       0.500        0.000                 0.235       0.954                  0.235      0.954
                         0.200       1.000        0.500                 0.280       0.608                  0.280      0.608
                                                         Will Gamma overflow? FALSE

Lead Time Distribution: Ignore Gamma. Discrete used.                                              Distribution Actually Used:
                                                  Gamma Parameters: 4.500       0.667       LT: Mean = 3, CV = 0.471, Discrete
                    Discrete LT
                              Discrete F(LT)Discrete f(LT)           Gamma LT Gamma f(LT)              Discrete LT      f(IDT)
                          0.000        0.000        0.000                 0.300       0.005                  0.000      0.000
                          1.000        0.200        0.200                 1.650       0.259                  1.000      0.200
                          2.000        0.400        0.200                 3.000       0.277                  2.000      0.200
                          3.000        0.600        0.200                 4.350       0.134                  3.000      0.200
                          4.000        0.800        0.200                 5.700       0.046                  4.000      0.200
                          5.000        1.000        0.200                 7.050       0.013                  5.000      0.200
                          6.000        1.000        0.000                 8.400       0.003                  6.000      0.000
                                                           Will Gamma overflow? FALSE
Sheet: Trace                                                          File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                        Page 10 of 58

Order Crossing Simulation                                                       Partial Simulation Results                       Theory
(s, S) with S=0                                           demands     452                        Shortfall Leadtime Leadtime
Continuous time!                                     orders placed    14              Shortfall @ Delivery Demand    Demand
            Q = S-s         30                           deliveries   13       Mean      43.35       60.62     26.69    30.00
      Exp. Demand           10                 Number of Crossings     1     Variance   248.71     153.59     226.90   230.00
 Var. Dmd (approx)          10
           RNSeed        5235
                                                     Periodic Review. Q=30: D=10, var=10: L= 3, Std=1.41
  Periodic Review?     TRUE Periodic Review. Q=30: D=10, var=10: L= 3, Std=1.41
       Gamma LT?      FALSE      0
      Gamma IDT?       TRUE




                                                                                                                                  5025




                                                                                                                                               5030




                                                                                                                                                               5035
                                        4995




                                                         5000




                                                                      5005




                                                                                   5010




                                                                                                     5015




                                                                                                                    5020
                               -10
           Exp. IDT        0.1
                               -20
         StDev IDT         0.1
            Exp. LT          3 -30
          StDev LT    1.41421 -40
                                  -50
                                  -60
                                  -70
        Current Time 55.556       -80


                                 Arriving       Inventory          Order                  Lead          Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period          Dmd       Orders On-Hand On-Order Position Quantity                Time          Period      Demand Delivery crossed        1       2      3      4     5
               5000                         -27         0     -27
        5000.047463          1              -28         0     -28
        5000.118557          1              -29         0     -29
         5000.11895          1              -30         0     -30
        5000.453041          1              -31         0     -31
        5000.509626          1              -32         0     -32
         5000.76021          1              -33         0     -33
               5001                         -33        33        0      33                       4          5005                               0      5005
        5001.154046          1              -34        33       -1
        5001.264099          1              -35        33       -2
        5001.318424          1              -36        33       -3
        5001.330007          1              -37        33       -4
        5001.431884          1              -38        33       -5
        5001.708118          1              -39        33       -6
        5001.746788          1              -40        33       -7
         5001.82104          1              -41        33       -8
         5001.85482          1              -42        33       -9
        5001.938805          1              -43        33     -10
        5002.244994          1              -44        33     -11
        5002.280199          1              -45        33     -12
        5002.303541          1              -46        33     -13
        5002.344361          1              -47        33     -14
        5002.381167          1              -48        33     -15
        5002.453742          1              -49        33     -16
        5002.753257          1              -50        33     -17
        5002.770789          1              -51        33     -18
        5003.033741          1              -52        33     -19
        5003.129288          1              -53        33     -20
        5003.131748          1              -54        33     -21
        5003.139099          1              -55        33     -22
        5003.144072          1              -56        33     -23
        5003.445661          1              -57        33     -24
        5003.464883          1              -58        33     -25
        5003.515421          1              -59        33     -26
        5003.959563          1              -60        33     -27
        5004.059034          1              -61        33     -28
        5004.282059          1              -62        33     -29
           5004.308          1              -63        33     -30
        5004.463619          1              -64        33     -31
        5004.552588          1              -65        33     -32
         5004.57251          1              -66        33     -33
        5004.585094          1              -67        33     -34
         5004.59645          1              -68        33     -35
         5004.85119          1              -69        33     -36
        5004.935838          1              -70        33     -37
        5004.939203          1              -71        33     -38
         5004.98294          1              -72        33     -39
               5005                         -72        72        0      39                       2          5007                               0      5005   5007
               5005                    33   -39        39        0                                                         -39           -72          5005
        5005.043927          1              -40        39       -1
        5005.125637          1              -41        39       -2
        5005.134688          1              -42        39       -3
        5005.222926          1              -43        39       -4
        5005.254597          1              -44        39       -5
        5005.297737          1              -45        39       -6
        5005.401858          1              -46        39       -7
        5005.444106          1              -47        39       -8
         5005.70614          1              -48        39       -9
         5005.88964          1              -49        39     -10
        5005.895316          1              -50        39     -11
        5006.028288          1              -51        39     -12
Sheet: Trace                                               File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                    Page 11 of 58

                                Arriving       Inventory          Order       Lead       Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period         Dmd       Orders On-Hand On-Order Position Quantity     Time       Period      Demand Delivery crossed        1       2      3      4     5
        5006.045509         1              -52        39     -13
        5006.066182         1              -53        39     -14
        5006.082214         1              -54        39     -15
        5006.119373         1              -55        39     -16
        5006.132403         1              -56        39     -17
        5006.197546         1              -57        39     -18
        5006.550895         1              -58        39     -19
               5007                   39   -19         0     -19                                            -19       -58
        5007.128251         1              -20         0     -20
        5007.317277         1              -21         0     -21
        5007.338246         1              -22         0     -22
         5007.39217         1              -23         0     -23
         5007.41161         1              -24         0     -24
        5007.412227         1              -25         0     -25
        5007.622616         1              -26         0     -26
         5007.63529         1              -27         0     -27
        5007.636659         1              -28         0     -28
        5007.882665         1              -29         0     -29
        5007.898352         1              -30         0     -30
        5007.987569         1              -31         0     -31
         5007.99081         1              -32         0     -32
               5008                        -32        32        0      32            5       5013                              0    5013
        5008.159031         1              -33        32       -1
        5008.254136         1              -34        32       -2
        5008.542844         1              -35        32       -3
        5008.590475         1              -36        32       -4
        5008.656459         1              -37        32       -5
        5008.871643         1              -38        32       -6
        5009.002582         1              -39        32       -7
        5009.068712         1              -40        32       -8
        5009.071957         1              -41        32       -9
        5009.298852         1              -42        32     -10
        5009.629066         1              -43        32     -11
        5009.653796         1              -44        32     -12
        5009.801481         1              -45        32     -13
        5009.810995         1              -46        32     -14
        5009.860536         1              -47        32     -15
        5009.877569         1              -48        32     -16
        5009.957243         1              -49        32     -17
        5009.984397         1              -50        32     -18
        5010.127253         1              -51        32     -19
        5010.327687         1              -52        32     -20
        5010.352583         1              -53        32     -21
        5010.361235         1              -54        32     -22
         5010.59064         1              -55        32     -23
        5010.703538         1              -56        32     -24
        5010.747061         1              -57        32     -25
         5010.77391         1              -58        32     -26
        5010.778124         1              -59        32     -27
        5010.898752         1              -60        32     -28
        5010.918525         1              -61        32     -29
        5010.955608         1              -62        32     -30
               5011                        -62        62        0      30            1       5012                              1    5012   5013
        5011.007742         1              -63        62       -1
        5011.169116         1              -64        62       -2
        5011.207074         1              -65        62       -3
        5011.209828         1              -66        62       -4
        5011.292345         1              -67        62       -5
        5011.394348         1              -68        62       -6
        5011.429936         1              -69        62       -7
        5011.606302         1              -70        62       -8
        5011.622673         1              -71        62       -9
         5011.63795         1              -72        62     -10
        5011.664522         1              -73        62     -11
        5011.974317         1              -74        62     -12
               5012                   30   -44        32     -12                                            -12       -74           5012
        5012.001531         1              -45        32     -13
         5012.13312         1              -46        32     -14
        5012.150276         1              -47        32     -15
        5012.193078         1              -48        32     -16
        5012.358864         1              -49        32     -17
        5012.360324         1              -50        32     -18
         5012.44483         1              -51        32     -19
        5012.530815         1              -52        32     -20
        5012.890531         1              -53        32     -21
        5012.916463         1              -54        32     -22
        5012.923564         1              -55        32     -23
               5013                   32   -23         0     -23                                            -53       -55
        5013.167599         1              -24         0     -24
        5013.296098         1              -25         0     -25
        5013.593854         1              -26         0     -26
Sheet: Trace                                               File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                    Page 12 of 58

                                Arriving       Inventory          Order       Lead       Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period         Dmd       Orders On-Hand On-Order Position Quantity     Time       Period      Demand Delivery crossed        1       2      3      4     5
        5013.621019         1              -27         0     -27
         5013.72919         1              -28         0     -28
        5014.052806         1              -29         0     -29
        5014.057097         1              -30         0     -30
         5014.21525         1              -31         0     -31
        5014.348423         1              -32         0     -32
        5014.488077         1              -33         0     -33
        5014.688973         1              -34         0     -34
               5015                        -34        34        0      34            3       5018                              0    5018
        5015.055203         1              -35        34       -1
        5015.245878         1              -36        34       -2
        5015.375231         1              -37        34       -3
        5015.394512         1              -38        34       -4
        5015.553738         1              -39        34       -5
        5015.615365         1              -40        34       -6
        5015.701141         1              -41        34       -7
        5015.888689         1              -42        34       -8
        5015.934368         1              -43        34       -9
        5015.962724         1              -44        34     -10
        5016.325344         1              -45        34     -11
        5016.424787         1              -46        34     -12
        5016.466211         1              -47        34     -13
        5016.560876         1              -48        34     -14
        5016.593837         1              -49        34     -15
        5016.732494         1              -50        34     -16
        5016.743301         1              -51        34     -17
        5016.765898         1              -52        34     -18
        5016.778627         1              -53        34     -19
        5016.885058         1              -54        34     -20
        5016.931916         1              -55        34     -21
        5017.045089         1              -56        34     -22
        5017.052655         1              -57        34     -23
        5017.290737         1              -58        34     -24
        5017.366025         1              -59        34     -25
        5017.495418         1              -60        34     -26
        5017.597363         1              -61        34     -27
        5017.636664         1              -62        34     -28
        5017.656176         1              -63        34     -29
         5017.69609         1              -64        34     -30
        5017.753189         1              -65        34     -31
        5017.799449         1              -66        34     -32
               5018                        -66        66        0      32            2       5020                              0    5018   5020
               5018                   34   -32        32        0                                           -32       -66           5018
        5018.289444         1              -33        32       -1
        5018.393903         1              -34        32       -2
        5018.551277         1              -35        32       -3
        5018.707399         1              -36        32       -4
        5018.992446         1              -37        32       -5
        5019.127468         1              -38        32       -6
        5019.200439         1              -39        32       -7
        5019.393495         1              -40        32       -8
        5019.425834         1              -41        32       -9
        5019.477375         1              -42        32     -10
        5019.633081         1              -43        32     -11
         5019.70644         1              -44        32     -12
        5019.716464         1              -45        32     -13
        5019.856859         1              -46        32     -14
        5019.938467         1              -47        32     -15
               5020                   32   -15         0     -15                                            -15       -47
        5020.443185         1              -16         0     -16
         5020.53125         1              -17         0     -17
        5020.692152         1              -18         0     -18
        5020.705346         1              -19         0     -19
        5020.763168         1              -20         0     -20
        5020.770471         1              -21         0     -21
        5020.784454         1              -22         0     -22
        5020.787054         1              -23         0     -23
        5020.822942         1              -24         0     -24
        5020.825711         1              -25         0     -25
        5021.035497         1              -26         0     -26
        5021.055711         1              -27         0     -27
        5021.273183         1              -28         0     -28
        5021.316599         1              -29         0     -29
        5021.562636         1              -30         0     -30
        5021.596209         1              -31         0     -31
        5021.616976         1              -32         0     -32
        5021.825483         1              -33         0     -33
        5021.863034         1              -34         0     -34
         5021.91974         1              -35         0     -35
               5022                        -35        35        0      35            1       5023                              0    5023
        5022.256681         1              -36        35       -1
Sheet: Trace                                               File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                    Page 13 of 58

                                Arriving       Inventory          Order       Lead       Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period         Dmd       Orders On-Hand On-Order Position Quantity     Time       Period      Demand Delivery crossed        1       2      3      4     5
        5022.261045         1              -37        35       -2
        5022.263916         1              -38        35       -3
        5022.271804         1              -39        35       -4
        5022.316076         1              -40        35       -5
         5022.57658         1              -41        35       -6
        5022.824805         1              -42        35       -7
        5022.829559         1              -43        35       -8
        5022.986078         1              -44        35       -9
               5023                   35    -9         0       -9                                            -9       -44
        5023.170266         1              -10         0     -10
        5023.319448         1              -11         0     -11
        5023.556362         1              -12         0     -12
         5023.57303         1              -13         0     -13
        5023.592373         1              -14         0     -14
        5023.733228         1              -15         0     -15
        5023.763896         1              -16         0     -16
        5023.820688         1              -17         0     -17
        5023.895811         1              -18         0     -18
        5023.942577         1              -19         0     -19
        5024.043329         1              -20         0     -20
        5024.270086         1              -21         0     -21
        5024.378698         1              -22         0     -22
        5024.483592         1              -23         0     -23
        5024.485565         1              -24         0     -24
        5024.529116         1              -25         0     -25
        5024.653183         1              -26         0     -26
        5024.722509         1              -27         0     -27
        5024.854316         1              -28         0     -28
        5024.966056         1              -29         0     -29
        5025.064577         1              -30         0     -30
        5025.111872         1              -31         0     -31
         5025.17711         1              -32         0     -32
        5025.257125         1              -33         0     -33
        5025.475878         1              -34         0     -34
        5025.493196         1              -35         0     -35
        5025.608927         1              -36         0     -36
         5025.68282         1              -37         0     -37
        5025.742549         1              -38         0     -38
        5025.777209         1              -39         0     -39
         5025.78503         1              -40         0     -40
        5025.811158         1              -41         0     -41
               5026                        -41        41        0      41            1       5027                              0    5027
         5026.10751         1              -42        41       -1
        5026.176283         1              -43        41       -2
        5026.453755         1              -44        41       -3
        5026.470435         1              -45        41       -4
        5026.648804         1              -46        41       -5
        5026.649343         1              -47        41       -6
        5026.684638         1              -48        41       -7
        5026.796194         1              -49        41       -8
        5026.928016         1              -50        41       -9
        5026.948504         1              -51        41     -10
        5026.993829         1              -52        41     -11
               5027                   41   -11         0     -11                                            -11       -52
        5027.225137         1              -12         0     -12
        5027.225765         1              -13         0     -13
        5027.357827         1              -14         0     -14
        5027.556581         1              -15         0     -15
        5027.582707         1              -16         0     -16
        5027.741786         1              -17         0     -17
        5027.775092         1              -18         0     -18
        5027.896066         1              -19         0     -19
        5027.964415         1              -20         0     -20
        5028.200946         1              -21         0     -21
         5028.26773         1              -22         0     -22
        5028.402307         1              -23         0     -23
        5028.516994         1              -24         0     -24
        5028.634542         1              -25         0     -25
        5028.676194         1              -26         0     -26
         5028.83791         1              -27         0     -27
        5029.049764         1              -28         0     -28
        5029.072065         1              -29         0     -29
        5029.215814         1              -30         0     -30
        5029.503296         1              -31         0     -31
        5029.568933         1              -32         0     -32
        5029.651647         1              -33         0     -33
        5029.706527         1              -34         0     -34
               5030                        -34        34        0      34            4       5034                              0    5034
        5030.054073         1              -35        34       -1
        5030.154665         1              -36        34       -2
        5030.325675         1              -37        34       -3
Sheet: Trace                                               File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                    Page 14 of 58

                                Arriving       Inventory          Order       Lead       Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period         Dmd       Orders On-Hand On-Order Position Quantity     Time       Period      Demand Delivery crossed        1       2      3      4     5
        5030.347236         1              -38        34       -4
        5030.694311         1              -39        34       -5
        5030.909284         1              -40        34       -6
         5031.00317         1              -41        34       -7
        5031.065266         1              -42        34       -8
        5031.134427         1              -43        34       -9
        5031.210778         1              -44        34     -10
        5031.231001         1              -45        34     -11
        5031.284301         1              -46        34     -12
        5031.494828         1              -47        34     -13
        5031.804843         1              -48        34     -14
        5031.873472         1              -49        34     -15
         5032.37739         1              -50        34     -16
        5032.551595         1              -51        34     -17
        5032.587516         1              -52        34     -18
        5032.603276         1              -53        34     -19
        5032.628982         1              -54        34     -20
        5032.807748         1              -55        34     -21
        5032.859922         1              -56        34     -22
        5032.979348         1              -57        34     -23
        5033.005025         1              -58        34     -24
        5033.018108         1              -59        34     -25
        5033.269005         1              -60        34     -26
        5033.299715         1              -61        34     -27
        5033.361913         1              -62        34     -28
        5033.549289         1              -63        34     -29
        5033.668252         1              -64        34     -30
        5033.709487         1              -65        34     -31
        5033.742204         1              -66        34     -32
        5033.819765         1              -67        34     -33
        5033.878407         1              -68        34     -34
               5034                        -68        68        0      34            4       5038                              0    5034   5038
               5034                   34   -34        34        0                                           -34       -68           5034
        5034.076231         1              -35        34       -1
        5034.250177         1              -36        34       -2
        5034.343843         1              -37        34       -3
        5034.426428         1              -38        34       -4
        5034.451541         1              -39        34       -5
        5034.496684         1              -40        34       -6
        5034.568854         1              -41        34       -7
        5034.643506         1              -42        34       -8
        5034.720052         1              -43        34       -9
        5034.726437         1              -44        34     -10
        5034.868104         1              -45        34     -11
        5034.870989         1              -46        34     -12
        5034.957622         1              -47        34     -13
        5035.031428         1              -48        34     -14
        5035.217971         1              -49        34     -15
        5035.312471         1              -50        34     -16
        5035.390787         1              -51        34     -17
        5035.527393         1              -52        34     -18
        5035.536364         1              -53        34     -19
        5035.589322         1              -54        34     -20
        5035.765561         1              -55        34     -21
        5035.774386         1              -56        34     -22
        5035.905474         1              -57        34     -23
        5036.039154         1              -58        34     -24
        5036.077696         1              -59        34     -25
        5036.137509         1              -60        34     -26
        5036.182616         1              -61        34     -27
        5036.413066         1              -62        34     -28
        5036.642166         1              -63        34     -29
        5036.784987         1              -64        34     -30
        5036.862945         1              -65        34     -31
        5036.897086         1              -66        34     -32
        5036.920594         1              -67        34     -33
               5037                        -67        67        0      33            4       5041                              0    5038   5041
        5037.024143         1              -68        67       -1
        5037.144921         1              -69        67       -2
        5037.257073         1              -70        67       -3
        5037.308064         1              -71        67       -4
        5037.333919         1              -72        67       -5
        5037.583959         1              -73        67       -6
        5037.726413         1              -74        67       -7
        5037.747136         1              -75        67       -8
               5038                   34   -41        33       -8                                           -41       -75           5038
        5038.167452         1              -42        33       -9
        5038.244063         1              -43        33     -10
         5038.31158         1              -44        33     -11
        5038.379458         1              -45        33     -12
        5038.549572         1              -46        33     -13
Sheet: Trace                                               File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                    Page 15 of 58

                                Arriving       Inventory          Order       Lead       Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period         Dmd       Orders On-Hand On-Order Position Quantity     Time       Period      Demand Delivery crossed        1       2      3      4     5
         5038.55365         1              -47        33     -14
        5038.578496         1              -48        33     -15
         5038.75299         1              -49        33     -16
        5038.824419         1              -50        33     -17
        5038.839401         1              -51        33     -18
        5038.941159         1              -52        33     -19
        5039.052493         1              -53        33     -20
         5039.30073         1              -54        33     -21
         5039.34189         1              -55        33     -22
        5039.346488         1              -56        33     -23
        5039.466435         1              -57        33     -24
        5039.508918         1              -58        33     -25
        5039.653927         1              -59        33     -26
        5039.850323         1              -60        33     -27
        5039.873611         1              -61        33     -28
        5039.897019         1              -62        33     -29
        5039.926865         1              -63        33     -30
        5039.976452         1              -64        33     -31
               5040                        -64        64        0      31            5       5045                              0    5041   5045
        5040.157764         1              -65        64       -1
        5040.272391         1              -66        64       -2
        5040.462255         1              -67        64       -3
        5040.534409         1              -68        64       -4
        5040.847826         1              -69        64       -5
        5040.920234         1              -70        64       -6
               5041                   33   -37        31       -6                                           -37       -70           5041
        5041.016447         1              -38        31       -7
         5041.12444         1              -39        31       -8
        5041.178727         1              -40        31       -9
        5041.290514         1              -41        31     -10
        5041.432829         1              -42        31     -11
        5041.535971         1              -43        31     -12
        5041.605302         1              -44        31     -13
        5041.693973         1              -45        31     -14
        5041.849468         1              -46        31     -15
        5041.914911         1              -47        31     -16
        5041.976849         1              -48        31     -17
        5042.053916         1              -49        31     -18
        5042.170456         1              -50        31     -19
        5042.326573         1              -51        31     -20
        5042.468459         1              -52        31     -21
        5042.493427         1              -53        31     -22
        5042.512026         1              -54        31     -23
        5043.141543         1              -55        31     -24
        5043.197075         1              -56        31     -25
         5043.28622         1              -57        31     -26
        5043.307647         1              -58        31     -27
        5043.462904         1              -59        31     -28
         5043.59267         1              -60        31     -29
        5043.850839         1              -61        31     -30
        5043.981739         1              -62        31     -31
               5044                        -62        62        0      31            1       5045                              0    5045   5045
        5044.145907         1              -63        62       -1
        5044.163523         1              -64        62       -2
        5044.315559         1              -65        62       -3
        5044.410533         1              -66        62       -4
        5044.808169         1              -67        62       -5
        5044.872432         1              -68        62       -6
        5044.975082         1              -69        62       -7
               5045                   31   -38        31       -7                                           -38       -69           5045
               5045                   31    -7         0       -7                                            -7       -38
        5045.193782         1               -8         0       -8
        5045.377253         1               -9         0       -9
        5045.387592         1              -10         0     -10
        5045.441223         1              -11         0     -11
        5045.653598         1              -12         0     -12
        5045.672726         1              -13         0     -13
         5045.72577         1              -14         0     -14
        5045.877501         1              -15         0     -15
        5045.889819         1              -16         0     -16
         5046.01742         1              -17         0     -17
        5046.047783         1              -18         0     -18
        5046.048649         1              -19         0     -19
        5046.091179         1              -20         0     -20
        5046.168037         1              -21         0     -21
        5046.246604         1              -22         0     -22
        5046.272145         1              -23         0     -23
         5046.41277         1              -24         0     -24
        5046.461265         1              -25         0     -25
        5046.464301         1              -26         0     -26
        5046.729683         1              -27         0     -27
Sheet: Trace                                               File: 037b9251-f711-4bd0-a539-54c8dce36c7a.xls                                                    Page 16 of 58

                                Arriving       Inventory          Order       Lead       Delivery   - Leadtime Inv. before orders Order Pipeline, Arrival Times
       Period         Dmd       Orders On-Hand On-Order Position Quantity     Time       Period      Demand Delivery crossed        1       2      3      4     5
        5046.782132         1              -28         0     -28
        5046.829459         1              -29         0     -29
        5046.888235         1              -30         0     -30
               5047                        -30        30        0      30            5       5052                              0    5052
        5047.029942         1              -31        30       -1
        5047.231122         1              -32        30       -2
        5047.389787         1              -33        30       -3
        5047.458878         1              -34        30       -4
        5047.551307         1              -35        30       -5
        5047.638875         1              -36        30       -6
        5047.939996         1              -37        30       -7
        5047.984952         1              -38        30       -8
        5048.017181         1              -39        30       -9
        5048.020285         1              -40        30     -10
              Runin Periods         5,000         5,000         5,000         5,000
                Run Periods        50,000        50,000        50,000        50,000
                     Q = S-s            20            20            10            50
               Exp. Demand              10            10            10            10
         Var. Dmd (approx)              10            10            10            10
                    RNSeed           5235          5235          5235          5235
          Periodic Review?         FALSE          TRUE          TRUE          TRUE
                Gamma LT?          FALSE         FALSE         FALSE         FALSE
               Gamma IDT?           TRUE          TRUE          TRUE          TRUE
   Exp. Inter-Demand Time              0.1           0.1           0.1           0.1
  StDev Inter-Demand Time              0.1           0.1           0.1           0.1
                     Exp. LT             3             3             3             3
                   StDev LT    1.4142136     1.4142136     1.4142136     1.4142136
                    Exp LTD             30            30            30            30
                    Var LTD           230           230           230           230
                Exp D(LT+1)             40            40            40            40
                Var D(LT+1)           240           240           240           240
                   SimTime         50,000        50,000        50,000        50,000
                  Demands         501,009       500,940       501,008       500,784
                      Orders       25,050        20,110        34,155         9,100
                  Deliveries       25,050        20,112        34,154         9,100
                  Crossings         5,149         1,600         8,476              0
                 Cross/Deliv   0.2055489     0.0795545     0.2481701               0
                   LTD Avg.    30.051018     30.004177     29.979007      29.98033
                    LTD var.    229.0572     230.83888     231.78743     230.03291
"LT+1 Dem" or "LTD", Avg.      30.051018     41.033313     41.295251     41.017363
"LT+1 Dem" or "LTD", Var.       229.0572     240.86912     240.24175     239.76981
      S-Inv. (Time Av) Avg.    39.530602     42.216215     37.395718     57.046254
       S-Inv. (Time Av) var.   184.53422     241.16825     155.04833     489.28271
         s-Inv @Deliv. Avg.    30.051018     34.982946     34.874451     35.013956
          s-Inv @Deliv. var.   150.95101      194.4201     142.49282     242.52035
                           x             x             x             x             x
                                         0             0             0             0
                                         1             1             1             1
                                         2             2             2             2
                                         3             3             3             3
                                         4             4             4             4
                                         5             5             5             5
                                         6             6             6             6
                                         7             7             7             7
                                         8             8             8             8
                                         9             9             9             9
                                        10            10            10            10
                                        11            11            11            11
12   12   12   12
13   13   13   13
14   14   14   14
15   15   15   15
16   16   16   16
17   17   17   17
18   18   18   18
19   19   19   19
20   20   20   20
21   21   21   21
22   22   22   22
23   23   23   23
24   24   24   24
25   25   25   25
26   26   26   26
27   27   27   27
28   28   28   28
29   29   29   29
30   30   30   30
31   31   31   31
32   32   32   32
33   33   33   33
34   34   34   34
35   35   35   35
36   36   36   36
37   37   37   37
38   38   38   38
39   39   39   39
40   40   40   40
41   41   41   41
42   42   42   42
43   43   43   43
44   44   44   44
45   45   45   45
46   46   46   46
47   47   47   47
48   48   48   48
49   49   49   49
50   50   50   50
51   51   51   51
52   52   52   52
53   53   53   53
54   54   54   54
55   55   55   55
56   56   56   56
57   57   57   57
58   58   58   58
59   59   59   59
60   60   60   60
61   61   61   61
62   62   62   62
63   63   63   63
64   64   64   64
65   65   65   65
66   66   66   66
67   67   67   67
68   68   68   68
69   69   69   69
70   70   70   70
71   71   71   71
72   72   72   72
73   73   73   73
74   74   74   74
75   75   75   75
76   76   76   76
77   77   77   77
78   78   78   78
79   79   79   79
80   80   80   80
81   81   81   81
82   82   82   82
83   83   83   83
84   84   84   84
85   85   85   85
86   86   86   86
87   87   87   87
88   88   88   88
89   89   89   89
90   90   90   90
91   91   91   91
92   92   92   92
93   93   93   93
94   94   94   94
95   95   95   95
96   96   96   96
97   97   97   97
98   98   98   98
99   99   99   99
100   100   100   100
101   101   101   101
102   102   102   102
103   103   103   103
104   104   104   104
105   105   105   105
106   106   106   106
107   107   107   107
108   108   108   108
109   109   109   109
110   110   110   110
111   111   111   111
112   112   112   112
113   113   113   113
114   114   114   114
115   115   115   115
116   116   116   116
117   117   117   117
118   118   118   118
119   119   119   119
120   120   120   120
121   121   121   121
122   122   122   122
123   123   123   123
124   124   124   124
125   125   125   125
126   126   126   126
127   127   127   127
128   128   128   128
129   129   129   129
130   130   130   130
131   131   131   131
132   132   132   132
133   133   133   133
134   134   134   134
135   135   135   135
136   136   136   136
137   137   137   137
138   138   138   138
139   139   139   139
140   140   140   140
141   141   141   141
142   142   142   142
143   143   143   143
             144           144          144          144
             145           145          145          145
             146           146          146          146
             147           147          147          147
             148           148          148          148
             149           149          149          149
             150           150          150          150
             151           151          151          151
             152           152          152          152
             153           153          153          153
             154           154          154          154
             155           155          155          155
             156           156          156          156
             157           157          157          157
             158           158          158          158
             159           159          159          159
             160           160          160          160
             161           161          161          161
             162           162          162          162
             163           163          163          163
             164           164          164          164
             165           165          165          165
             166           166          166          166
             167           167          167          167
             168           168          168          168
             169           169          169          169
             170           170          170          170
-Inv         -Inv          -Inv         -Inv         -Inv
                0             0            0            0
        5.39E-06    7.195E-06              0   3.341E-05
       2.805E-05    5.969E-05     6.067E-05     1.26E-05
       7.196E-05    0.0001126     0.0001143    8.524E-05
       0.0001714    0.0002473     9.026E-05    0.0001675
       0.0003403    0.0004642      0.000274    0.0002705
       0.0006986    0.0007244     0.0005325    0.0005051
       0.0010466    0.0013021     0.0009539    0.0008976
       0.0015789    0.0018973      0.001385    0.0011896
       0.0022252    0.0023525     0.0021908    0.0014794
       0.0028909    0.0031825     0.0028884    0.0021735
       0.0037181    0.0038969     0.0036387    0.0026129
       0.0043397    0.0046586     0.0045123    0.0030778
       0.0051222    0.0054877     0.0052079    0.0034604
       0.0060303       0.00611    0.0061619    0.0037958
       0.0068243    0.0067537     0.0069439    0.0040066
0.0075703    0.007496   0.0080825   0.0045078
0.0085157   0.0081999   0.0090399   0.0046368
0.0095298   0.0091968   0.0101532   0.0051967
0.0106826    0.010057   0.0118148   0.0054742
0.0117124   0.0108426   0.0129255   0.0057886
0.0128015   0.0118055   0.0147945   0.0062942
0.0139101   0.0126107   0.0160542   0.0066731
0.0152132    0.013985   0.0178978   0.0069427
0.0160448   0.0148342   0.0195415    0.007189
0.0175499   0.0153575   0.0206708   0.0076418
 0.018829   0.0162435   0.0223878   0.0082318
 0.020107   0.0174993   0.0237914   0.0083975
0.0212398   0.0175913   0.0255667   0.0087557
0.0223756   0.0187152   0.0266633   0.0089793
0.0232978   0.0196702   0.0274485   0.0093796
0.0245302   0.0204681   0.0283579   0.0099374
0.0251058   0.0208848   0.0292479   0.0101457
0.0260062    0.021634   0.0296534   0.0106357
0.0266456   0.0223096   0.0310419   0.0111452
0.0273774   0.0226852   0.0306789   0.0113045
0.0276505   0.0228394   0.0308876   0.0116326
0.0276667   0.0233092   0.0311532   0.0119498
0.0281307   0.0241654   0.0310583   0.0123727
0.0279218   0.0235115   0.0303261   0.0125313
 0.028144   0.0239649   0.0303144    0.013323
0.0280129    0.023801   0.0296497   0.0134063
0.0273256   0.0236371   0.0285475   0.0137704
 0.026762   0.0236198   0.0273109   0.0144156
0.0267964   0.0242864   0.0272351   0.0143963
 0.026598   0.0233058   0.0252623   0.0146179
0.0256303    0.023317   0.0242037   0.0150305
0.0246146   0.0230879   0.0228935   0.0153612
0.0236493   0.0224123   0.0213486   0.0155286
0.0221351   0.0223276   0.0199292   0.0160701
0.0209785   0.0215409   0.0182612   0.0163454
0.0197803   0.0213662   0.0168116    0.016465
0.0184825   0.0199791   0.0159913   0.0172905
0.0174697   0.0191008   0.0144275   0.0167918
0.0161256   0.0188137   0.0130015   0.0173585
0.0149942   0.0177741   0.0119868   0.0172673
0.0138515   0.0170216   0.0106302   0.0173441
0.0130034   0.0160853   0.0095251   0.0176212
0.0119771   0.0153084   0.0086748   0.0175408
0.0108276   0.0145535   0.0074396   0.0170605
0.0099974    0.013582    0.0066802   0.0172055
0.0090167   0.0128339    0.0058106   0.0172291
0.0083296   0.0117722    0.0050295   0.0165939
 0.007303   0.0111094    0.0042297   0.0165851
0.0064457   0.0099746    0.0035132   0.0160283
0.0057306   0.0095069    0.0031474   0.0158873
0.0053497   0.0083934    0.0026669   0.0157737
0.0044251   0.0077963    0.0020666   0.0150993
0.0036904   0.0071211    0.0017544   0.0148333
0.0031929    0.006385    0.0014473   0.0142462
0.0027051   0.0058165    0.0012022   0.0141148
0.0021994   0.0051761    0.0009473   0.0137565
0.0018887   0.0046509     0.000822   0.0132967
0.0015219   0.0040251    0.0007043   0.0131786
0.0012046   0.0036514    0.0005803   0.0129615
0.0010102   0.0030677    0.0004689   0.0124334
0.0008216   0.0025786    0.0002766   0.0120802
0.0005845    0.002389    0.0002488   0.0115348
 0.000424   0.0020313    0.0002089   0.0110938
0.0003478   0.0017799    0.0001697    0.011124
0.0002892   0.0014927    0.0001197   0.0105466
0.0002324   0.0012215    6.984E-05   0.0100465
0.0001826   0.0011029    5.367E-05   0.0098815
0.0001385   0.0008063    3.968E-05   0.0091364
 9.73E-05   0.0007183    2.801E-05   0.0093107
6.748E-05   0.0005126    2.106E-05   0.0088438
4.291E-05   0.0004476    1.055E-05    0.008378
3.047E-05   0.0003709    1.341E-05   0.0079701
2.668E-05      0.00029   6.939E-06   0.0076158
8.635E-06   0.0002134    6.087E-06   0.0071293
1.253E-05   0.0001595    6.327E-06   0.0069482
 1.67E-06   0.0001069    4.957E-06   0.0065961
7.302E-06   0.0001178    1.518E-06   0.0062243
5.909E-06   6.746E-05    3.003E-06   0.0057947
9.314E-07   7.628E-05    2.698E-06    0.005551
2.263E-08   4.184E-05            0   0.0052786
7.916E-07   4.823E-05            0   0.0047339
        0   3.236E-05            0   0.0044904
        0   2.497E-05            0   0.0040532
        0   1.013E-05            0   0.0036575
        0    3.27E-06            0   0.0032626
        0   3.417E-06            0   0.0031173
        0   4.691E-06            0   0.0027299
        0   2.351E-06            0   0.0024427
0   1.906E-06    0   0.0021407
0    1.46E-06    0   0.0019214
0   2.657E-06    0   0.0016252
0      1.8E-06   0   0.0014863
0   5.052E-06    0   0.0013282
0            0   0   0.0011454
0            0   0   0.0008808
0            0   0   0.0008689
0            0   0   0.0006779
0            0   0   0.0005182
0            0   0   0.0004595
0            0   0   0.0003402
0            0   0   0.0002479
0            0   0   0.0002348
0            0   0   0.0001817
0            0   0   0.0001534
0            0   0   0.0001289
0            0   0   7.318E-05
0            0   0   5.985E-05
0            0   0   6.286E-05
0            0   0   5.306E-05
0            0   0   2.576E-05
0            0   0   2.415E-05
0            0   0   2.214E-05
0            0   0   1.007E-05
0            0   0   4.035E-06
0            0   0   1.582E-06
0            0   0   1.888E-06
0            0   0   6.731E-07
0            0   0   3.045E-06
0            0   0   3.164E-06
0            0   0   1.382E-07
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
0            0   0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
              0            0           0           0
LTD         LTD          LTD         LTD         LTD
              0            0           0           0
      7.984E-05   9.944E-05    0.0001171   0.0003297
      0.0006786   0.0004475    0.0007613   0.0001099
      0.0015569      0.00179   0.0017275   0.0012088
      0.0031138   0.0037788    0.0038356   0.0040659
       0.006986   0.0077068    0.0072612   0.0068132
      0.0124152    0.012679    0.0122972   0.0110989
      0.0182435   0.0181981    0.0188558   0.0193407
      0.0205988   0.0231702    0.0224571   0.0212088
      0.0254291   0.0250099    0.0260584   0.0242857
      0.0271058   0.0247116    0.0255607   0.0281319
      0.0250299   0.0260044    0.0253265   0.0263736
      0.0224351   0.0241647    0.0221936   0.0220879
      0.0201597   0.0185959     0.020349   0.0208791
      0.0178044    0.018397    0.0178603   0.0184615
      0.0172854   0.0175517    0.0188265   0.0178022
      0.0180838   0.0163087    0.0176846   0.0198901
      0.0179242   0.0191428    0.0172454    0.016044
      0.0188822   0.0202864    0.0194121   0.0198901
      0.0203593   0.0225736    0.0204954   0.0212088
0.0214371   0.0202864    0.0218715    0.0224176
0.0209182   0.0205847    0.0216373    0.0213187
0.0230739   0.0215294     0.021813    0.0193407
0.0210778   0.0187947    0.0202904    0.0189011
 0.020519   0.0174523    0.0196756    0.0189011
0.0192016   0.0185959    0.0195292     0.023956
0.0187226   0.0203361    0.0195585     0.019011
 0.019521   0.0215792    0.0182702    0.0191209
0.0209581   0.0181981    0.0191193    0.0194505
0.0198802   0.0192422    0.0199977    0.0206593
0.0202794      0.02143   0.0197049    0.0197802
0.0192016      0.01964   0.0211688    0.0198901
0.0207585   0.0207339     0.020349    0.0201099
 0.020998   0.0206344    0.0200269    0.0213187
0.0215968   0.0207836    0.0203783    0.0201099
0.0188822   0.0214797    0.0209639    0.0198901
0.0207186   0.0185461    0.0201441    0.0196703
0.0183633   0.0198886     0.019617    0.0195604
0.0209182   0.0206842    0.0189729    0.0172527
 0.018004   0.0200875    0.0194414    0.0194505
0.0199601   0.0200378    0.0191193    0.0198901
0.0203194   0.0184964    0.0198513    0.0197802
0.0192814   0.0185461    0.0188558    0.0172527
0.0182834   0.0192422    0.0188265    0.0181319
 0.019002   0.0198886    0.0186215    0.0172527
0.0180838   0.0177009    0.0170112     0.019011
0.0175649      0.01785   0.0180067    0.0184615
0.0176447   0.0162092    0.0174211    0.0186813
0.0169261   0.0166567     0.016045    0.0184615
0.0149701   0.0143198    0.0160743    0.0176923
0.0149701   0.0153142    0.0153716    0.0162637
0.0151297   0.0147673    0.0144932    0.0145055
0.0130539   0.0124801    0.0129707    0.0134066
0.0105788   0.0122812    0.0112432    0.0108791
0.0106587   0.0105907    0.0093986    0.0092308
0.0094212   0.0086018    0.0089887    0.0074725
0.0078244   0.0084527    0.0084617     0.007033
0.0067864   0.0063644    0.0066756    0.0063736
0.0063473   0.0058174        0.0065   0.0045055
0.0045908   0.0057677     0.005036    0.0051648
0.0039122   0.0042761    0.0038356    0.0050549
0.0033932      0.00358   0.0033085    0.0040659
0.0027146    0.002685    0.0028401    0.0020879
0.0016367   0.0021877    0.0024302    0.0024176
0.0018363   0.0018894   0.0022252   0.0020879
0.0016766   0.0011933   0.0012883   0.0013187
 0.001477   0.0009447   0.0011419   0.0005495
0.0006786   0.0009447   0.0007905    0.000989
0.0005988   0.0001989   0.0007027   0.0008791
 0.000479   0.0004972   0.0006441   0.0004396
0.0002794   0.0002983   0.0002928   0.0006593
7.984E-05   0.0001989    0.000205   0.0003297
0.0003194   0.0002486   0.0002342           0
0.0001597   0.0001492   0.0001464   0.0002198
3.992E-05           0           0           0
7.984E-05           0           0           0
3.992E-05   4.972E-05           0   0.0001099
        0   9.944E-05           0           0
        0           0           0           0
        0           0   5.856E-05           0
        0   4.972E-05           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0   2.928E-05           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
                        0            0            0             0
s-Inv @Deliv.s-Inv @Deliv.s-Inv @Deliv.s-Inv @Deliv.s-Inv @Deliv.
                        0            0            0             0
                3.992E-05            0            0 0.0001099
                0.0003194 4.972E-05               0             0
                0.0005988 0.0001492 0.0001171 0.0001099
                0.0015569 0.0002486 0.0002635 0.0006593
                0.0034731 0.0010939 0.0005563 0.0013187
                0.0059481 0.0015414 0.0012004 0.0018681
                 0.008503 0.0034805 0.0009955 0.0042857
                0.0105389 0.0044749 0.0026937 0.0059341
                 0.014012 0.0064141 0.0032207 0.0086813
                0.0152495 0.0076571 0.0046847 0.0123077
                0.0148104 0.0101432 0.0054459 0.0134066
                0.0137325     0.009099 0.0056216 0.0161538
                0.0146108 0.0124304 0.0071441 0.0154945
                0.0160878 0.0133254 0.0084617 0.0197802
                0.0151297 0.0162092        0.009018 0.0175824
                0.0169261 0.0165076 0.0098671 0.0194505
                 0.017525 0.0161595 0.0114481 0.0217582
                0.0203992 0.0171539 0.0132927 0.0206593
                0.0201198 0.0176014 0.0161621           0.019011
                0.0229541 0.0175517 0.0162792                0.02
                0.0228343 0.0187947 0.0180067 0.0226374
                0.0245509 0.0200378 0.0206711 0.0212088
                0.0242715 0.0197892 0.0224864           0.019011
0.0251497    0.0233691   0.0234233   0.0205495
0.0259082    0.0204356   0.0252093   0.0192308
0.0289421    0.0212808    0.025912   0.0205495
0.0342515    0.0220267   0.0279323   0.0205495
0.0358084    0.0249602   0.0275224   0.0193407
0.0353293     0.024463   0.0301575   0.0210989
0.0362475    0.0233691   0.0312116   0.0204396
0.0345709    0.0256563   0.0322071   0.0176923
0.0350898    0.0254077   0.0323242   0.0195604
0.0305389    0.0268994   0.0305089   0.0213187
0.0284232    0.0270485   0.0332611   0.0183516
0.0254691    0.0264021   0.0325877   0.0178022
0.0257485    0.0254077   0.0320314   0.0194505
0.0221956    0.0256066   0.0336417   0.0216484
0.0229541    0.0256066   0.0311237   0.0206593
0.0208383    0.0267502   0.0301282   0.0193407
0.0207186    0.0251094   0.0290742    0.019011
0.0205988    0.0236177   0.0276395   0.0204396
0.0198403    0.0250597   0.0260584   0.0201099
 0.017006    0.0241647   0.0258828   0.0183516
0.0170459    0.0211814   0.0221058   0.0191209
0.0158882    0.0216289   0.0216373   0.0198901
0.0147705    0.0215294   0.0202026   0.0178022
0.0132136    0.0190931   0.0194414   0.0216484
 0.012495    0.0173031   0.0183873   0.0175824
0.0112575    0.0160103   0.0164549   0.0189011
0.0110579    0.0152645   0.0149031   0.0201099
   0.01002   0.0151154   0.0133806   0.0186813
0.0077445    0.0149662   0.0117117   0.0186813
0.0066667    0.0127784   0.0108626   0.0142857
0.0055888    0.0127287   0.0104819   0.0149451
0.0050699    0.0116846   0.0085202   0.0159341
0.0039521    0.0105907   0.0073198   0.0124176
0.0033533    0.0079057    0.007027   0.0120879
0.0027944    0.0078063   0.0052702   0.0112088
 0.001996    0.0079057   0.0041869   0.0104396
0.0016367    0.0062152   0.0036013   0.0083516
0.0012375    0.0064141   0.0033378   0.0068132
0.0010379    0.0054694   0.0031329   0.0071429
0.0006786    0.0043258   0.0025766   0.0064835
0.0007186    0.0040772    0.001991   0.0053846
0.0006786    0.0036794   0.0018153   0.0045055
 0.000519    0.0023369   0.0011419   0.0043956
0.0001198     0.002685   0.0009662   0.0034066
0.0002395   0.0022375   0.0008784   0.0024176
0.0001597   0.0012928   0.0008784    0.001978
7.984E-05   0.0014419   0.0008491   0.0010989
3.992E-05   0.0006464   0.0003806   0.0015385
        0   0.0008453   0.0002928   0.0014286
7.984E-05   0.0002486   0.0001464   0.0006593
        0   0.0003978   0.0001464    0.000989
        0   0.0003978   0.0001171   0.0006593
3.992E-05   0.0002486   0.0001464   0.0006593
        0   0.0003978   5.856E-05   0.0006593
        0   0.0001492   2.928E-05   0.0003297
        0   0.0002486   2.928E-05   0.0001099
        0           0   2.928E-05   0.0002198
        0   4.972E-05           0           0
        0           0   2.928E-05           0
        0           0           0           0
        0   4.972E-05   5.856E-05           0
        0           0           0   0.0001099
        0           0           0           0
        0   4.972E-05           0           0
        0   4.972E-05           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
        0           0           0           0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
                   0           0           0           0
LT+1 Dem      LTDem    LT+1 Dem    LT+1 Dem    LT+1 Dem
                   0           0           0           0
           7.984E-05           0           0           0
           0.0006786           0           0           0
           0.0015569           0           0           0
           0.0031138           0           0           0
            0.006986           0   2.928E-05           0
           0.0124152           0           0           0
           0.0182435   4.972E-05   2.928E-05           0
           0.0205988   0.0001989   0.0002342   0.0002198
           0.0254291   0.0001989   0.0001757   0.0001099
           0.0271058   0.0002983   0.0003513   0.0002198
           0.0250299    0.001243   0.0008198    0.000989
           0.0224351    0.002138    0.001464   0.0017582
           0.0201597   0.0028341   0.0021374   0.0025275
           0.0178044   0.0050716   0.0040698   0.0052747
           0.0172854   0.0089499   0.0069099   0.0071429
           0.0180838   0.0101432   0.0092815   0.0106593
           0.0179242   0.0143198   0.0121216   0.0131868
           0.0188822   0.0163584   0.0152544   0.0148352
           0.0203593   0.0167064   0.0180067   0.0181319
           0.0214371   0.0202864   0.0198805   0.0223077
           0.0209182   0.0198886    0.021813   0.0191209
           0.0230739   0.0217283   0.0214616   0.0214286
           0.0210778   0.0213803   0.0215202   0.0207692
            0.020519   0.0215294   0.0205832   0.0212088
           0.0192016   0.0174025   0.0198513   0.0213187
           0.0187226   0.0189439   0.0198513   0.0195604
            0.019521   0.0198886   0.0202612   0.0194505
0.0209581    0.020187   0.0190314   0.0205495
0.0198802   0.0200875   0.0186508   0.0201099
0.0202794   0.0187947   0.0195585   0.0220879
0.0192016   0.0210819   0.0213152         0.02
0.0207585   0.0211814   0.0211395         0.02
 0.020998   0.0201372   0.0204954   0.0201099
0.0215968   0.0190931   0.0195585   0.0193407
0.0188822   0.0200378   0.0206125   0.0208791
0.0207186   0.0209825   0.0188558   0.0202198
0.0183633   0.0199383   0.0194414   0.0195604
0.0209182    0.017502   0.0208175   0.0189011
 0.018004   0.0199383   0.0194999   0.0156044
0.0199601   0.0193417   0.0204076   0.0221978
0.0203194   0.0184964   0.0201733   0.0192308
0.0192814   0.0195903   0.0195292   0.0183516
0.0182834   0.0219769   0.0205247   0.0240659
 0.019002   0.0198389   0.0189143   0.0184615
0.0180838   0.0220267   0.0212274   0.0202198
0.0175649   0.0204853    0.019822   0.0181319
0.0176447   0.0192422   0.0202319   0.0205495
0.0169261   0.0199881   0.0189143   0.0186813
0.0149701   0.0186456   0.0205832   0.0206593
0.0149701    0.020535   0.0197049   0.0215385
0.0151297   0.0192422   0.0195585   0.0192308
0.0130539    0.019292   0.0178017   0.0207692
0.0105788    0.018745   0.0184166    0.017033
0.0106587   0.0182975   0.0183287   0.0181319
0.0094212   0.0186456   0.0181824   0.0201099
0.0078244    0.018745    0.017099   0.0167033
0.0067864   0.0170048   0.0199684   0.0179121
0.0063473   0.0159606   0.0166013   0.0154945
0.0045908   0.0165076   0.0154008   0.0185714
0.0039122   0.0154634   0.0148152   0.0153846
0.0033932    0.014469   0.0157815   0.0159341
0.0027146   0.0146181   0.0143761   0.0132967
0.0016367   0.0127287   0.0129707   0.0127473
0.0018363   0.0118337    0.012268   0.0108791
0.0016766   0.0088007   0.0106576   0.0092308
 0.001477   0.0095465   0.0091351   0.0082418
0.0006786   0.0085024   0.0084324   0.0075824
0.0005988    0.007508   0.0076126    0.006044
 0.000479   0.0054196   0.0065585    0.006044
0.0002794    0.005718   0.0051824   0.0065934
7.984E-05   0.0053699   0.0047432   0.0046154
0.0003194   0.0039777    0.0045675   0.0037363
0.0001597      0.00358   0.0032793   0.0027473
3.992E-05   0.0022872     0.002723    0.002967
7.984E-05   0.0020883    0.0021959   0.0017582
3.992E-05   0.0013425    0.0016689   0.0017582
        0   0.0012928    0.0014347   0.0014286
        0   0.0011436    0.0012297   0.0017582
        0   0.0011436    0.0009955   0.0005495
        0   0.0004475    0.0010833    0.000989
        0   0.0002983    0.0004977   0.0004396
        0   0.0003481    0.0003513   0.0003297
        0   0.0002486    0.0001464   0.0003297
        0   9.944E-05     0.000205   0.0005495
        0   0.0001989    0.0001464           0
        0   4.972E-05     0.000205   0.0002198
        0   4.972E-05    8.784E-05   0.0001099
        0            0   5.856E-05           0
        0   4.972E-05    2.928E-05   0.0001099
        0   9.944E-05            0           0
        0   4.972E-05            0           0
        0   4.972E-05    2.928E-05           0
        0            0           0           0
        0   4.972E-05    2.928E-05           0
        0            0           0           0
        0            0           0           0
        0            0   2.928E-05           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
        0            0           0           0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
                            0            0            0            0
   Discrete IDT Discrete IDT Discrete IDT Discrete IDT Discrete IDT
                            0            0            0            0
                  0.0333333 0.0333333 0.0333333 0.0333333
                  0.0666667 0.0666667 0.0666667 0.0666667
                          0.1          0.1          0.1          0.1
                  0.1333333 0.1333333 0.1333333 0.1333333
                  0.1666667 0.1666667 0.1666667 0.1666667
                          0.2          0.2          0.2          0.2
              Discrete F(IDT)
Discrete F(IDT)                         Discrete F(IDT)
                           Discrete F(IDT)           Discrete F(IDT)
                          0.5          0.5          0.5          0.5
                          0.5          0.5          0.5          0.5
                          0.5          0.5          0.5          0.5
                          0.5          0.5          0.5          0.5
                          0.5          0.5          0.5          0.5
                          0.5          0.5          0.5          0.5
                            1            1            1            1
    Discrete LT Discrete LT Discrete LT Discrete LT Discrete LT
                            0            0            0            0
                            1            1            1            1
                            2            2            2            2
                            3            3            3            3
                            4            4            4            4
                            5            5            5            5
                            6            6            6            6
 Discrete F(LT)             Discrete F(LT)
               Discrete F(LT)                         Discrete F(LT)
                                         Discrete F(LT)
                            0            0            0            0
                          0.2          0.2          0.2          0.2
                          0.4          0.4          0.4          0.4
                          0.6          0.6          0.6          0.6
                          0.8          0.8          0.8          0.8
                            1            1            1            1
                            1            1            1            1
     5,000         5,000         5,000         5,000
    50,000        50,000        50,000        50,000
         50            50            50            50
         10            10            10            10
        1.6           1.6            10            10
      5235          5235          5235          5235
     TRUE         FALSE         FALSE          TRUE
    FALSE         FALSE         FALSE         FALSE
     TRUE          TRUE          TRUE          TRUE
        0.1           0.1           0.1           0.1
       0.04          0.04           0.1           0.1
          3             3             3             3
1.4142136     1.4142136     1.4142136     1.4142136
         30            30            30            30
     204.8         204.8           230           230
         40            40            40            40
     206.4         206.4           240           240
    50,000        50,000        50,000        50,000
   500,285       500,203       500,771       500,784
     9,205        10,004        10,015         9,100
     9,205        10,004        10,015         9,100
          0             0            32             0
          0             0   0.0031952               0
30.322651     29.434026      30.02666      29.98033
205.12545     210.07711     232.50503     230.03291
40.574253     29.434026      30.02666     41.017363
206.88588     210.07711     232.50503     239.76981
57.890613     54.706093     54.482139     57.046254
458.26579     419.01377     440.23707     489.28271
34.671157     29.434026      30.02666     35.013956
217.07481     210.07711     231.62635     242.52035
          x             x             x             x
          0             0             0             0
          1             1             1             1
          2             2             2             2
          3             3             3             3
          4             4             4             4
          5             5             5             5
          6             6             6             6
          7             7             7             7
          8             8             8             8
          9             9             9             9
         10            10            10            10
         11            11            11            11
12   12   12   12
13   13   13   13
14   14   14   14
15   15   15   15
16   16   16   16
17   17   17   17
18   18   18   18
19   19   19   19
20   20   20   20
21   21   21   21
22   22   22   22
23   23   23   23
24   24   24   24
25   25   25   25
26   26   26   26
27   27   27   27
28   28   28   28
29   29   29   29
30   30   30   30
31   31   31   31
32   32   32   32
33   33   33   33
34   34   34   34
35   35   35   35
36   36   36   36
37   37   37   37
38   38   38   38
39   39   39   39
40   40   40   40
41   41   41   41
42   42   42   42
43   43   43   43
44   44   44   44
45   45   45   45
46   46   46   46
47   47   47   47
48   48   48   48
49   49   49   49
50   50   50   50
51   51   51   51
52   52   52   52
53   53   53   53
54   54   54   54
55   55   55   55
56   56   56   56
57   57   57   57
58   58   58   58
59   59   59   59
60   60   60   60
61   61   61   61
62   62   62   62
63   63   63   63
64   64   64   64
65   65   65   65
66   66   66   66
67   67   67   67
68   68   68   68
69   69   69   69
70   70   70   70
71   71   71   71
72   72   72   72
73   73   73   73
74   74   74   74
75   75   75   75
76   76   76   76
77   77   77   77
78   78   78   78
79   79   79   79
80   80   80   80
81   81   81   81
82   82   82   82
83   83   83   83
84   84   84   84
85   85   85   85
86   86   86   86
87   87   87   87
88   88   88   88
89   89   89   89
90   90   90   90
91   91   91   91
92   92   92   92
93   93   93   93
94   94   94   94
95   95   95   95
96   96   96   96
97   97   97   97
98   98   98   98
99   99   99   99
100   100   100   100
101   101   101   101
102   102   102   102
103   103   103   103
104   104   104   104
105   105   105   105
106   106   106   106
107   107   107   107
108   108   108   108
109   109   109   109
110   110   110   110
111   111   111   111
112   112   112   112
113   113   113   113
114   114   114   114
115   115   115   115
116   116   116   116
117   117   117   117
118   118   118   118
119   119   119   119
120   120   120   120
121   121   121   121
122   122   122   122
123   123   123   123
124   124   124   124
125   125   125   125
126   126   126   126
127   127   127   127
128   128   128   128
129   129   129   129
130   130   130   130
131   131   131   131
132   132   132   132
133   133   133   133
134   134   134   134
135   135   135   135
136   136   136   136
137   137   137   137
138   138   138   138
139   139   139   139
140   140   140   140
141   141   141   141
142   142   142   142
143   143   143   143
      144          144          144          144
      145          145          145          145
      146          146          146          146
      147          147          147          147
      148          148          148          148
      149          149          149          149
      150          150          150          150
      151          151          151          151
      152          152          152          152
      153          153          153          153
      154          154          154          154
      155          155          155          155
      156          156          156          156
      157          157          157          157
      158          158          158          158
      159          159          159          159
      160          160          160          160
      161          161          161          161
      162          162          162          162
      163          163          163          163
      164          164          164          164
      165          165          165          165
      166          166          166          166
      167          167          167          167
      168          168          168          168
      169          169          169          169
      170          170          170          170
      -Inv         -Inv         -Inv         -Inv
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         0            0   2.651E-05     1.26E-05
         0            0   7.946E-05    8.524E-05
         0            0   0.0001832    0.0001675
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 5.41E-06    1.274E-05    0.0006138    0.0005051
6.858E-05    0.0001772    0.0009107    0.0008976
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 0.003497    0.0042022    0.0041895    0.0037958
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 0.007208   0.0081785    0.0083344    0.0076418
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0.0181625    0.0175417    0.0175116   0.0172055
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0.0171109    0.0156787    0.0161042   0.0165851
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0.0162114    0.0157507    0.0158615   0.0158873
0.0161613    0.0157103    0.0152213   0.0157737
 0.015901    0.0157424    0.0148847   0.0150993
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0.0148303    0.0137607    0.0134812   0.0141148
0.0141184     0.012913    0.0132191   0.0137565
0.0137094    0.0123117    0.0126915   0.0132967
0.0134346    0.0119525    0.0121874   0.0131786
0.0130292    0.0119234    0.0121468   0.0129615
0.0128513    0.0116331    0.0115597   0.0124334
0.0126425    0.0115726    0.0111195   0.0120802
 0.012173    0.0114225    0.0105052   0.0115348
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0.0115263    0.0107004     0.009972    0.011124
0.0110232    0.0098339     0.009684   0.0105466
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 0.008538       0.00751   0.0067203   0.0079701
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0.0018083   0.0001459    0.000993    0.0019214
0.0015015   7.449E-05   0.0008017    0.0016252
0.0011924   3.118E-05   0.0006016    0.0014863
0.0009468   1.092E-05   0.0005021    0.0013282
0.0007132   5.792E-06   0.0004031    0.0011454
0.0004899   1.398E-06   0.0002617    0.0008808
0.0002888           0   0.0002386    0.0008689
0.0001734           0   0.0001538    0.0006779
0.0001001           0    0.000118    0.0005182
5.357E-05           0   7.862E-05    0.0004595
3.267E-05           0   8.871E-05    0.0003402
9.491E-06           0   4.917E-05    0.0002479
2.245E-06           0   1.921E-05    0.0002348
        0           0   1.553E-05    0.0001817
        0           0   6.476E-06    0.0001534
        0           0      1.1E-05   0.0001289
        0           0   8.386E-06    7.318E-05
        0           0   8.723E-06    5.985E-05
        0           0   1.264E-06    6.286E-05
        0           0   2.795E-07    5.306E-05
        0           0   2.503E-06    2.576E-05
        0           0   2.442E-06    2.415E-05
        0           0   2.247E-06    2.214E-05
        0           0   3.981E-07    1.007E-05
        0           0   2.649E-09    4.035E-06
        0           0            0   1.582E-06
        0           0            0   1.888E-06
        0           0            0   6.731E-07
        0           0            0   3.045E-06
        0           0            0   3.164E-06
        0           0            0   1.382E-07
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        0           0   0.0033949    0.0040659
        0           0   0.0060909    0.0068132
0.0002173   0.0007997   0.0132801    0.0110989
0.0036936   0.0090964   0.0187718    0.0193407
0.0185769   0.0318872   0.0231653    0.0212088
0.0463878   0.0615754   0.0215676    0.0242857
 0.057686   0.0592763    0.030654    0.0281319
0.0429115   0.0315874   0.0271593    0.0263736
0.0175991   0.0126949   0.0204693    0.0220879
0.0052146    0.002399   0.0215676    0.0208791
0.0014123   0.0010996   0.0203694    0.0184615
0.0003259   0.0019992   0.0161757    0.0178022
0.0029332    0.004898   0.0161757    0.0198901
0.0117328   0.0159936   0.0182726     0.016044
0.0267246   0.0319872   0.0218672    0.0198901
0.0379142   0.0420832      0.01997   0.0212088
0.0416078    0.0408836    0.0207688   0.0224176
0.0380228    0.0312875    0.0197703   0.0213187
0.0237914    0.0193922    0.0204693   0.0193407
0.0124932    0.0077969    0.0208687   0.0189011
0.0046714    0.0039984    0.0202696   0.0189011
0.0038023    0.0038984    0.0201697    0.023956
0.0077132    0.0087965    0.0198702    0.019011
0.0142314    0.0178928    0.0171742   0.0191209
0.0231396    0.0268892    0.0181727   0.0194505
0.0305269    0.0288884     0.020669   0.0206593
0.0344378    0.0364854    0.0201697   0.0197802
0.0322651    0.0288884    0.0198702   0.0198901
0.0212928    0.0208916    0.0193709   0.0201099
   0.01434   0.0112955     0.018672   0.0213187
0.0090168    0.0082967    0.0187718   0.0201099
0.0077132    0.0076969    0.0215676   0.0198901
   0.00956   0.0114954    0.0208687   0.0196703
0.0158609    0.0185926    0.0211682   0.0195604
0.0249864    0.0291883    0.0204693   0.0172527
0.0310701    0.0288884    0.0172741   0.0194505
0.0333514    0.0287885    0.0184723   0.0198901
0.0321564    0.0257897    0.0204693   0.0197802
0.0228137     0.019892    0.0204693   0.0172527
0.0148832    0.0161935    0.0201697   0.0181319
0.0137968     0.010096    0.0202696   0.0172527
0.0117328     0.010096    0.0163754    0.019011
0.0130364    0.0131947    0.0181727   0.0184615
0.0181423    0.0182927    0.0168747   0.0186813
0.0216187       0.02509   0.0156765   0.0184615
0.0296578    0.0272891     0.015976   0.0176923
0.0285714    0.0290884    0.0143784   0.0162637
0.0239001    0.0259896    0.0123814   0.0145055
0.0225964    0.0188924    0.0127808   0.0134066
0.0183596     0.014994     0.012681   0.0108791
0.0103205    0.0088964     0.010684   0.0092308
 0.005975    0.0045982    0.0096855   0.0074725
0.0031505    0.0022991    0.0083874    0.007033
0.0010864    0.0008996    0.0065901   0.0063736
0.0006518    0.0004998    0.0061907   0.0045055
0.0003259    0.0001999    0.0053919   0.0051648
         0   9.996E-05    0.0042936   0.0050549
         0            0   0.0037943   0.0040659
         0            0   0.0024963   0.0020879
         0            0   0.0024963   0.0024176
0   0    0.001997   0.0020879
0   0   0.0014978   0.0013187
0   0   0.0015976   0.0005495
0   0    0.000699    0.000989
0   0   0.0002996   0.0008791
0   0   0.0004993   0.0004396
0   0   0.0001997   0.0006593
0   0   0.0001997   0.0003297
0   0   0.0001997           0
0   0           0   0.0002198
0   0           0           0
0   0           0           0
0   0   9.985E-05   0.0001099
0   0           0           0
0   0           0           0
0   0   9.985E-05           0
0   0           0           0
0   0           0           0
0   0           0           0
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s-Inv @Deliv.s-Inv @Deliv.s-Inv @Deliv.s-Inv @Deliv.
           0            0            0             0
           0            0 0.0001997 0.0001099
           0            0 0.0005991                0
           0            0 0.0012981 0.0001099
           0            0 0.0033949 0.0006593
           0            0 0.0060909 0.0013187
   0.0001086 0.0007997 0.0130804 0.0018681
   0.0006518 0.0090964        0.018672 0.0042857
   0.0039109 0.0318872 0.0229656 0.0059341
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   0.0172732 0.0592763 0.0305542 0.0123077
   0.0200978 0.0315874 0.0267599 0.0134066
   0.0207496 0.0126949        0.020669 0.0161538
   0.0199891     0.002399 0.0213679 0.0154945
   0.0151005 0.0010996 0.0207688 0.0197802
   0.0115155 0.0019992 0.0162756 0.0175824
   0.0166214     0.004898 0.0161757 0.0194505
   0.0181423 0.0159936 0.0185721 0.0217582
   0.0196632 0.0319872        0.021967 0.0206593
   0.0232482 0.0420832 0.0202696           0.019011
   0.0239001 0.0408836 0.0207688                0.02
   0.0234655 0.0312875 0.0197703 0.0226374
    0.020315 0.0193922 0.0204693 0.0212088
   0.0193373 0.0077969 0.0208687           0.019011
0.0174905    0.0039984    0.0202696    0.0205495
 0.015535    0.0038984    0.0201697    0.0192308
0.0159696    0.0087965    0.0198702    0.0205495
0.0189028    0.0178928    0.0171742    0.0205495
 0.021836    0.0268892    0.0181727    0.0193407
0.0237914    0.0288884     0.020669    0.0210989
 0.023031    0.0364854    0.0201697    0.0204396
0.0217273    0.0288884    0.0198702    0.0176923
0.0217273    0.0208916    0.0193709    0.0195604
0.0181423    0.0112955     0.018672    0.0213187
0.0172732    0.0082967    0.0187718    0.0183516
 0.018251    0.0076969    0.0215676    0.0178022
0.0166214    0.0114954    0.0208687    0.0194505
0.0153178    0.0185926    0.0211682    0.0216484
0.0200978    0.0291883    0.0204693    0.0206593
0.0221619    0.0288884    0.0172741    0.0193407
0.0216187    0.0287885    0.0184723     0.019011
0.0246605    0.0257897    0.0204693    0.0204396
0.0221619     0.019892    0.0204693    0.0201099
0.0190114    0.0161935    0.0201697    0.0183516
0.0180337     0.010096    0.0202696    0.0191209
0.0190114     0.010096    0.0163754    0.0198901
0.0200978    0.0131947    0.0181727    0.0178022
   0.01912   0.0182927    0.0168747    0.0216484
0.0220532       0.02509   0.0156765    0.0175824
0.0231396    0.0272891     0.015976    0.0189011
0.0208582    0.0290884    0.0143784    0.0201099
0.0204237    0.0259896    0.0123814    0.0186813
 0.020315    0.0188924    0.0127808    0.0186813
0.0183596     0.014994     0.012681    0.0142857
0.0192287    0.0088964     0.010684    0.0149451
0.0168387    0.0045982    0.0096855    0.0159341
   0.01673   0.0022991    0.0085871    0.0124176
0.0142314    0.0008996       0.00669   0.0120879
0.0127105    0.0004998    0.0063904    0.0112088
0.0120587    0.0001999    0.0055916    0.0104396
0.0111896    9.996E-05    0.0043934    0.0083516
0.0074959             0   0.0041937    0.0068132
0.0041282             0   0.0022966    0.0071429
   0.00239            0    0.002696    0.0064835
0.0014123             0   0.0015976    0.0053846
0.0013036             0   0.0013979    0.0045055
0.0006518             0   0.0015976    0.0043956
0.0001086             0   0.0003994    0.0034066
0   0   0.0001997   0.0024176
0   0   0.0001997    0.001978
0   0   0.0001997   0.0010989
0   0   0.0001997   0.0015385
0   0   0.0001997   0.0014286
0   0           0   0.0006593
0   0           0    0.000989
0   0           0   0.0006593
0   0   9.985E-05   0.0006593
0   0           0   0.0006593
0   0           0   0.0003297
0   0   9.985E-05   0.0001099
0   0           0   0.0002198
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0   0.0001099
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
        0           0            0           0
LT+1 Dem       LTDem        LTDem    LT+1 Dem
        0           0            0           0
        0           0   0.0001997            0
        0           0   0.0005991            0
        0           0   0.0012981            0
        0           0   0.0033949            0
        0           0   0.0060909            0
        0   0.0007997   0.0132801            0
        0   0.0090964   0.0187718            0
        0   0.0318872   0.0231653    0.0002198
        0   0.0615754   0.0215676    0.0001099
        0   0.0592763    0.030654    0.0002198
        0   0.0315874   0.0271593     0.000989
        0   0.0126949   0.0204693    0.0017582
        0    0.002399   0.0215676    0.0025275
0.0001086   0.0010996   0.0203694    0.0052747
0.0004345   0.0019992   0.0161757    0.0071429
0.0024986    0.004898   0.0161757    0.0106593
0.0099946   0.0159936   0.0182726    0.0131868
0.0202064   0.0319872   0.0218672    0.0148352
0.0326996   0.0420832      0.01997   0.0181319
0.0424769   0.0408836   0.0207688    0.0223077
0.0382401   0.0312875   0.0197703    0.0191209
0.0256382   0.0193922   0.0204693    0.0214286
0.0141228   0.0077969   0.0208687    0.0207692
0.0055405   0.0039984   0.0202696    0.0212088
0.0029332   0.0038984   0.0201697    0.0213187
0.0060837   0.0087965   0.0198702    0.0195604
0.0128191   0.0178928   0.0171742    0.0194505
0.0240087   0.0268892    0.0181727   0.0205495
0.0284628   0.0288884     0.020669   0.0201099
 0.036176   0.0364854    0.0201697   0.0220879
0.0346551   0.0288884    0.0198702         0.02
0.0268332   0.0208916    0.0193709         0.02
0.0178164   0.0112955     0.018672   0.0201099
0.0091255   0.0082967    0.0187718   0.0193407
0.0077132   0.0076969    0.0215676   0.0208791
0.0101032   0.0114954    0.0208687   0.0202198
0.0127105   0.0185926    0.0211682   0.0195604
0.0171646   0.0291883    0.0204693   0.0189011
0.0299837   0.0288884    0.0172741   0.0156044
0.0286801   0.0287885    0.0184723   0.0221978
0.0270505   0.0257897    0.0204693   0.0192308
0.0257469    0.019892    0.0204693   0.0183516
0.0184682   0.0161935    0.0201697   0.0240659
0.0121673    0.010096    0.0202696   0.0184615
0.0114068    0.010096    0.0163754   0.0202198
0.0105378   0.0131947    0.0181727   0.0181319
0.0159696   0.0182927    0.0168747   0.0205495
0.0223791      0.02509   0.0156765   0.0186813
0.0258555   0.0272891     0.015976   0.0206593
0.0307442   0.0290884    0.0143784   0.0215385
0.0298751   0.0259896    0.0123814   0.0192308
 0.025421   0.0188924    0.0127808   0.0207692
0.0175991    0.014994     0.012681    0.017033
0.0154264   0.0088964     0.010684   0.0181319
0.0126018   0.0045982    0.0096855   0.0201099
0.0170559   0.0022991    0.0083874   0.0167033
0.0184682   0.0008996    0.0065901   0.0179121
0.0222705   0.0004998    0.0061907   0.0154945
 0.020641   0.0001999    0.0053919   0.0185714
 0.026616   9.996E-05    0.0042936   0.0153846
0.0262901            0   0.0037943   0.0159341
0.0217273            0   0.0024963   0.0132967
0.0185769            0   0.0024963   0.0127473
0.0121673            0    0.001997   0.0108791
0.0082564            0   0.0014978   0.0092308
0.0052146            0   0.0015976   0.0082418
0.0024986            0    0.000699   0.0075824
 0.001195            0   0.0002996    0.006044
0.0005432            0   0.0004993    0.006044
        0            0   0.0001997   0.0065934
        0            0   0.0001997   0.0046154
0   0   0.0001997   0.0037363
0   0           0   0.0027473
0   0           0    0.002967
0   0           0   0.0017582
0   0   9.985E-05   0.0017582
0   0           0   0.0014286
0   0           0   0.0017582
0   0   9.985E-05   0.0005495
0   0           0    0.000989
0   0           0   0.0004396
0   0           0   0.0003297
0   0           0   0.0003297
0   0           0   0.0005495
0   0           0           0
0   0           0   0.0002198
0   0           0   0.0001099
0   0           0           0
0   0           0   0.0001099
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0           0           0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
0   0   0   0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
               0            0            0            0
   Discrete IDT Discrete IDT Discrete IDT Discrete IDT
               0            0            0            0
     0.0333333 0.0333333 0.0333333 0.0333333
     0.0666667 0.0666667 0.0666667 0.0666667
             0.1          0.1          0.1          0.1
     0.1333333 0.1333333 0.1333333 0.1333333
     0.1666667 0.1666667 0.1666667 0.1666667
             0.2          0.2          0.2          0.2
              Discrete F(IDT)
Discrete F(IDT)                         Discrete F(IDT)
                           Discrete F(IDT)
             0.5          0.5          0.5          0.5
             0.5          0.5          0.5          0.5
             0.5          0.5          0.5          0.5
             0.5          0.5          0.5          0.5
             0.5          0.5          0.5          0.5
             0.5          0.5          0.5          0.5
               1            1            1            1
    Discrete LT Discrete LT Discrete LT Discrete LT
               0            0            0            0
               1            1            1            1
               2            2            2            2
               3            3            3            3
               4            4            4            4
               5            5            5            5
               6            6            6            6
 Discrete F(LT)             Discrete F(LT)
               Discrete F(LT)            Discrete F(LT)
               0            0            0            0
             0.2          0.2          0.2          0.2
             0.4          0.4          0.4          0.4
             0.6          0.6          0.6          0.6
             0.8          0.8          0.8          0.8
               1            1            1            1
               1            1            1            1

				
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Description: Inventory Control Management Only document sample