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									2010 Fall, ECON 2500, Homework 15 and 16 Key

# 3 from the scan entitled "Problems 2-25, pg 195-206, Linear Programming Applications.pdf" in the class folder on the G driv

Objective:
Maximized Return:                   $ 188,800.00

Decisions:
                                    Automobile   Furniture  Other Secured Signature
               Amount               $630,000.00 $170,000.00 $460,000.00 $140,000.00

Constraints:
                                     Automobile      Furniture    Other Secured     Signature
Maximum Automobile                       1
Maximum Furniture                                        1
Maximum Other Secured                                                    1
Maximum Signature                                                                       1
Maximum Risk-Free Securities
Signature Loan Maximum                   -0.1          -0.1            -0.1            0.9
Third Constraint                          -1            1               1
Fourth Constraint                                                       1               1
Maximum Total                             1              1              1               1

Paremeters:
                                     Automobile      Furniture    Other Secured     Signature
Rates of return:                         8%            10%            11%              12%
ions.pdf" in the class folder on the G drive




              Risk-Free Securities
                  $600,000.00


              Risk-Free Securities      Sumproduct         Inequality        Constraint
                                        $630,000.00           <=           $2,000,000.00
                                        $170,000.00           <=           $2,000,000.00
                                        $460,000.00           <=           $2,000,000.00
                                        $140,000.00           <=           $2,000,000.00
                        1               $600,000.00           <=            $600,000.00
                                           $0.00              <=               $0.00
                                           $0.00              <=               $0.00
                       -1                  $0.00              <=               $0.00
                       1               $2,000,000.00          <=           $2,000,000.00


              Risk-Free Securities
                                 9%                    Total Portfolio=      $2,000,000
                                                       Risk-Free Limit =            30%
2010 Fall, ECON 2500, Homework 15 and 16 Key

# 8 from the scan entitled "Problems 2-25, pg 195-206, Linear Programming Applications.pdf" in the class folder on the G driv

Objectives
Minimum Total Officers:                      19

Decisions
                            8 AM      Noon        4 PM       8 PM     Midnight    4 AM
Officers Starting Times       1        5            5          2         2          4

Constraints
                            8 AM      Noon        4 PM       8 PM     Midnight    4 AM     Sumproduct
8 AM to Noon                  1        0            0          0         0          1           5
Noon to 4 PM                  1        1                                                        6
4 PM to 8 PM                           1            1                                          10
8 PM to Midnight                                    1         1                                 7
Midnight to 4 AM                                              1          1                      4
4 AM to 8 AM                                                             1          1           6
8 AM Minimum                  1          0          0         0          0          1           5
Noon Minimum                             1                                                      5
4 PM Minimum                                        1                                           5
8 PM Minimum                                                  1                                 2
Midnight Minimum                                                         1                      2
4 AM Minimum                                                                        1           4
in the class folder on the G drive




            Inequality   Constraint
                >=            5
                >=            6
                >=           10
                >=            7
                >=            4
                >=            6
                >=            0
                >=            0
                >=            0
                >=            0
                >=            0
                >=            0
2010 Fall, ECON 2500, Homework 15 and 16 Key

# 25 from the scan entitled "Problems 2-25, pg 195-206, Linear Programming Applications.pdf" in the class folder on the G dr

Objective/Target Cell
Minimized Costs of Part-Time Workers:        $          152.00

Decisions/Changing Cells
                       Full Time @ 11 AM    Full Time @ 1 PM     11 AM Noon 1 PM 2 PM 3 PM 4 PM
Employees Starting at:           1                   1              8    -0   0    -0   2    0

Constraints
                        Full Time @ 11 AM    Full Time @ 1 PM 11 AM Noon 1 PM 2 PM 3 PM 4 PM
11 AM to Noon                    1                   0          1    0
Noon to 1 PM                     1                   0          1    1
1 PM to 2 PM                     1                   1          1    1     1
2 PM to 3 PM                     1                   1          1    1     1    1
3 PM to 4 PM                     0                   1          0    1     1    1    1
4 PM to 5 PM                     1                   1                     1    1    1    1
5 PM to 6 PM                     1                   0                          1    1    1
6 PM to 7 PM                     1                   1                               1    1
7 PM to 8 PM                     1                   1                                    1
8 PM to 9 PM                                         1
9 PM to 10 PM                                        1
11 AM Minimum                                                   1
Noon Minimum                                                         1
1 PM Minimum                                                               1
2 PM Minimum                                                                    1
3 PM Minimum                                                                         1
4 PM Minimum                                                                                1
5 PM Minimum
6 PM Minimum

Parameters
Part-time Wage Rate =                                            $7.60
in the class folder on the G drive




            5 PM 6 PM
              4    6


            5 PM 6 PM Sumproduct Inequality   Constraint
                             9       >=            9        0
                             9       >=            9        1
                            10       >=            9        2
                            10       >=            3        3
                             3       >=            3        4
                             4       >=            3        5
              1        6.999999998   >=            6        6
              1    1        14       >=           12        7
              1    1        12       >=           12        8
              1    1        11       >=            7        9
                   1         7       >=            7       10
                             8       >=            0       11
                        -3.155E-10   >=            0
                        1.8969E-09   >=            0
                       -3.5527E-10   >=            0
                       1.999999999   >=            0
                       5.71019E-11   >=            0
                1            4       >=            0
                     1       6       >=            0

								
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