Consider the following linear program:

Max 3A + 2B

s.t.

1A + 1B 10 3A + 1B 24 1A + 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 sensitivity report for the linear program in part (a) provides the following objective coefficient range information:

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

Variable A B. Objective Coefficient 3.000 2.000 Allowable Increase 3.000 1.000 Allowable Decrease 1.000 1.000