Consider the following linear program: Мах ЗА + 2B st. 1A + IB 10 3A + 1B 24 IA + 2B 16 A, B20 Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for A changes from 3 to 5. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. a. Assume that the objective function coefficient for A remains 3, but the objective fune- tion coefficient for B changes from 2 to 4. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. с.
Consider the following linear program: Мах ЗА + 2B st. 1A + IB 10 3A + 1B 24 IA + 2B 16 A, B20 Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for A changes from 3 to 5. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. a. Assume that the objective function coefficient for A remains 3, but the objective fune- tion coefficient for B changes from 2 to 4. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. с.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.CR: Chapter Review
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Transcribed Image Text:1. Consider the following linear program:
Max
3A+2B
s.t.
14+1B 10
3A+1B 24
IA+ 2B 16
A. B 0
Use the graphical solution procedure to find the optimal solution.
b. Assume that the objective function coefficient for A changes from 3 to 5. Does the
optimal solution change? Use the graphical solution procedure to find the new optimal
solution.
C.
Assume that the objective function coefficient for A remains 3, but the objective fune-
tion coefficient for B changes from 2 to 4. Does the optimal solution change? Use the
graphical solutlion procedure to find the new optimal solution.
d. The sensitivity report for tihe linear program in part (a) provides the following objec-
tive coefficient range information:
Objective
Coefficient
Allowable
Increase
Allowable
Decrease
Variable
3.000
2.000
3.000
1.000
1.000
1.000
Use this objective coefficient range information to answer parts (b) and (c).
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