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. 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. a. с.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 68P
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3.
Consider the following linear program:
Min 8X + 12Y
s.t.
1X + 3Y > 9
2X + 2Y > 10
6X + 2Y > 18
А, В 2 0
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:
Transcribed Image Text:3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y > 9 2X + 2Y > 10 6X + 2Y > 18 А, В 2 0 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:
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Follow up for part d)

3.
Consider the following linear program:
Min 8X + 12Y
s.t.
1X + 3Y > 9
2X + 2Y > 10
6X + 2Y > 18
А, В 2 0
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:
Transcribed Image Text:3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y > 9 2X + 2Y > 10 6X + 2Y > 18 А, В 2 0 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:
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