Question: 3. Consider the following linear program: Min 8x + 12Y s.t. 1X + 3Y 29 2X+ 2Y = 10 6X+ 2Y > 18 X, Y

3. Consider the following linear program: Min 8x
3. Consider the following linear program: Min 8x
3. Consider the following linear program: Min 8x + 12Y s.t. 1X + 3Y 29 2X+ 2Y = 10 6X+ 2Y > 18 X, Y > 0 a Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for Xchanges 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 sensitivity report for the linear program in part (a) provides the following objective coefficient range information: Variable Objective Coefficient Allowable Increase Allowable Decrease 8.000 4.000 4.000 Y 12.000 12.000 4.000 How would this objective coefficient range information help you answer part (b) and (c) prior to resolving the

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