1. Consider the following linear program: Max 3A + 2B s.t. 1A + 1B = 10 3A + 1B = 24 1A + 2B = 16 A, B 20 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 op- timal 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 func- tion 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 objec- tive coefficient range information: Variable B Objective Coefficient 3.000 2.000 Allowable Increase 3.000 1.000 Allowable Decrease 1.000 1.000 B Use this obiective coefficient range information to answer parts (b) and (c)