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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 = 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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