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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 func- tion 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 objec- tive coefficient range information: How would this objective coefficient range information help you answer parts (b) and (c) prior to re-solving the problem?

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 func- tion 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 objec- tive coefficient range information: How would this objective coefficient range information help you answer parts (b) and (c) prior to re-solving the problem?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 39PS
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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 func- tion 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 objec- tive coefficient range information:

How would this objective coefficient range information help you answer parts (b) and (c) prior to re-solving the problem?

3. Consider the following linear program: Min 8X + 12Y st. 1X + 3Y 2 9 2X + 2Y > 10 6X + 2Y > 18 А, В 2 0 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 a. solution. Problems 125 Assume that the objective function coefficient for X remains 8, but the objective func- tion 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 objec- tive coefficient range information: с. Objective Coefficient Allowable Allowable Variable 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 problem?
Transcribed Image Text:3. Consider the following linear program: Min 8X + 12Y st. 1X + 3Y 2 9 2X + 2Y > 10 6X + 2Y > 18 А, В 2 0 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 a. solution. Problems 125 Assume that the objective function coefficient for X remains 8, but the objective func- tion 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 objec- tive coefficient range information: с. Objective Coefficient Allowable Allowable Variable 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 problem?
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