Consider the following linear program. Min 8X + 12Y s.t. 1X + 3y >7 2X + 2Y = 10 6X + 2Y : 14 X, Y 20 Does the optimal solution change? The extreme point ---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. Allowable Allowable Variable Objective Coefficient Increase 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 . Since the change in part (b) is ---Select-- this range, we know the optimal solution --Select--- change. The objective coefficient range for variable Y is Since the change in part (C) is ---Select-- this range, we know the optimal solution --Select--- change. to to Consider the following linear program. Min 8X + 12Y s.t. 1X + 3y >7 2X + 2Y = 10 6X + 2Y : 14 X, Y 20 Does the optimal solution change? The extreme point ---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. Allowable Allowable Variable Objective Coefficient Increase 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 . Since the change in part (b) is ---Select-- this range, we know the optimal solution --Select--- change. The objective coefficient range for variable Y is Since the change in part (C) is ---Select-- this range, we know the optimal solution --Select--- change. to to