Graphical Solution and Range of Optimality for Objective Function Coefficients. Consider the linear program below and answer the following.

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 computer solution for the linear program in part (a) provides the following objective coefficient range information: Objective Allowable Allowable Variable Coefficient Increase Decrease 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).

For the above solutions:

* Describe the objective

* Describe each constraint

* Describe the decision variables

* Write the objective in terms of the decision variables

* Write the constraints in terms of the decision variables