Consider the following linear program:
3A 1 2B
1A 1 1B # 10
3A 1 1B #
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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