3.Consider the following linear program:Min 8X + 12Ys.t.1X + 3Y > 92X + 2Y > 106X + 2Y > 18А, В 2 0a. 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 optimalsolution 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 thegraphical 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:

Answered: Image /qna-images/answer/1ab008bf-603b-4cfd-85f8-c136a5307279.jpg

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.

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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Question

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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