1.Consider the following linear program below:

Maximize 3A+2B

Subject to:

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.