# Consider the following linear

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:

Variable A

Objective Coefficient: 3.00000

Allowable Increase: 3.00000

Allowable Decrease: 1.00000

Variable B

Objective Coefficient: 2.00000

Allowable Increase: 1.00000

Allowable Decrease: 1.00000

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

# Consider the following linear

Use Excel Solver to complete.

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:

# Consider the following linear

Consider the following linear program:
Min 2A+2B
s.t.
1A+3B&#8804;12
3A+1B&#8805;13
1A-1B=3
A,B&#8805;0
a. Show the feasible region.
b. What are the extreme points of the feasible region?
c. Find the optimal solution using the graphical solution procedure.

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