3 CHAPTER 3 - LINEAR PROGRAMMING: SENSITIVITY ANALYSIS AND INTERPRETATION OF SOLUTION 1. Consider the following linear program: Minimize the Objective function 8X + 12Y subject to the following constraints 1X + 3Y 2 9 2X + 2Y 2 10 6.X + 2Y 3 18 X, Y a) Use the graphical solution procedure to find the optimal solution. b) Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. c) Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12 to 6. 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 8.00000 4.00000 4.00000 12.00000 12.00000 4.00000 How would this objective coefficient range information help you answer parts b) and c) prior to re-solving the