Consider the following linear program: Max 3A+2B s.t. 1A+1B ≤ 10 3A+1B ≤ 24 1A+2B ≤ 16 A,B ≥ 0 Use the graphical solution procedure to find the optimal solution. 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. 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. The computer solution for the linear program in part (a) provides the following objective coefficient range information:

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Consider the following linear program:


Max 3A+2B

s.t. 1A+1B ≤ 10

3A+1B ≤ 24

1A+2B ≤ 16

A,B ≥ 0


Use the graphical solution procedure to find the optimal solution.

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.

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.

The computer solution for the linear program in part (a) provides the following objective coefficient range information:

 

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