3. Consider the following linear program: Min 8X + 12Y s.t. IX + 3Y 9 2X+ 2Y 10 6X + 2Y 18 X, Y 0 Use the graphical solution procedure to find the optimal solution. b. a. 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. The sensitivity report for the linear program in part (a) provides the following objec- tive coefficient range information: с. d. Objective Coefficient Allowable Inerease Allowable Decrease Variable 8.000 4.000 4.000 12.000 12.000 4.000 How would this objective coefficient range information help you answer parts (b) and (C) prior to resolving the problem?

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.
IX +3Y 9
2X+ 2Y 10
6X + 2Y 18
XY 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
solution.
a.
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 sensitivity report for the linear program in part (a) provides the following objec-
tive coefficient range information:
C.
Objective
Coefficient
Allowable
Inerease
Allowable
Variable
Decrease
8.000
12.000
4.000
12.000
4.000
4.000
How would this objective coelficient range information help you answer parts (b) and
(C) prior to resolving the problem?
Transcribed Image Text:3. Consider the following linear program: Min 8X + 12Y s.t. IX +3Y 9 2X+ 2Y 10 6X + 2Y 18 XY 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 solution. a. 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 sensitivity report for the linear program in part (a) provides the following objec- tive coefficient range information: C. Objective Coefficient Allowable Inerease Allowable Variable Decrease 8.000 12.000 4.000 12.000 4.000 4.000 How would this objective coelficient range information help you answer parts (b) and (C) prior to resolving the problem?
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