Question: Consider the following linear program: Max s.t. 3A 1 2B 1A 1 1B # 10 3A 1 1B # 24 1A 1 2B # 16

Consider the following linear program:

Max

s.t.

3A 1 2B

1A 1 1B # 10

3A 1 1B # 24

1A 1 2B # 16

A, B $ 0

a. Use the graphical solution procedure to find the optimal solution.

b. Assume that the objective function coefficient for A changes from 3 to 5. Does the optimal

solution change? Use the graphical solution procedure to find the new optimal solution.

c. Assume that the objective function coefficient for A remains 3, but the objective function

coefficient for B changes from 2 to 4. Does the optimal solution change? Use the

graphical solution procedure to find the new optimal solution.

d. The computer solution for the linear program in part (a) provides the following objective

coefficient range information:

Objective Allowable Allowable

Variable Coefficient I ncrease D ecrease

A 3.00000 3.00000 1.00000

B 2.00000 1.00000 1.00000

Use this objective coefficient range information to answer parts (b) and (c).

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