18 19 20

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QUESTION 18

1.        

Solve this linear programming problem.  What is the optimal value of the objective function?

 

Maximize $3x + $5y

subject to:

8x + 14y <= 94

9x + 12y <= 90

Answer

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Less than or equal to 30

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Greater than 30 but Less than or equal to 40

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Greater than 40 but Less than or equal to 50

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Greater than 50 but Less than or equal to 60

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Greater than 60

5 points   

QUESTION 19

1.        

1.       Solve this linear programming problem.  What is the shadow price (dual value) for the first constraint?

 Maximize $3x + $5y

subject to:

8x + 14y <= 94

9x + 12y <= 90

Answer

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Less than or equal to 0.5

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Greater than 0.5 but Less than or equal to 1

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Greater than 1 but Less than or equal to 2 

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Greater than 2 but Less than or equal to 5

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Greater than 5

QUESTION 20

1.        

ABC Logistics Inc. has four warehouses (A, B, C, and D) that require monthly shipments of 300, 350, 500, and 550 units per month, respectively. Its three plants (1, 2, and 3) have monthly capacities of 600, 450, and 650, respectively. Plant capacities, warehouse needs and shipping costs (in $) are shown in the following table. For example, the shipping cost from Plant 1 to Warehouse A is $15 per unit.

 

 

Warehouse

Plant

A

B

C

D

1

15

9

12

16

2

18

15

19

20

3

14

18

19

11

What is the optimal shipping cost?

Answer

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Less than or equal to $10,000 

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Greater than $10,000 but Less than or equal to $15,000

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Greater than $15,000 but Less than or equal to $20,000 

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Greater than $20,000 but Less than or equal to $25,000

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Greater than $25,000

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