1. [-/20 Points] DETAILS CAMMIMS16 3.E.003. Consider the following linear program. Min 8X + 12Y s.t. 1X 3Y9 2X2Y 6X2Y 14 18 X, Y Z O (a) Use the graphical solution procedure to find the optimal solution. What is the value of the objective function at the optimal solution? |at (X, Y)= | (b) Assume that the objective function coefficient for X changes from 8 to 6. Use the graphical solution procedure to find the new optimal solution. Does the optimal solution change? MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The extreme point (x, y) = | --Select- optimal. The value of the objective function becomes (c) Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12 to 6. Use the graphical solution procedure to find the new optimal solution. Does the optimal solution change? The extreme point (X, Y) = | -Select- optimal. The value of the objective function becomes (d) The computer solution for the linear program in part (a) provides the following objective coefficient range information. Variable Objective Allowable Coefficient Increase Allowable Decrease X 8.00000 4.00000 4.00000 Y 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 problem? The objective coefficient range for variable X is coefficient range for variable Y is to to . Since the change in part (b) is ---Select--- this range, we know the optimal solution ---Select--- change. The objective Since the change in part (c) is --Select--- this range, we know the optimal solution ---Select--- change. Need Help? Read It Watch It