Consider the following linear program:     Max 3A+2B s.t.1A+1B≤10 3A+1B≤24 1A+2B≤16 A,B≥0   Use the graphical solution procedure to find the optimal solution.   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.   Assume that the objective function coefficient for A remains 3, but the objective function coefficient for B changes from 2 to 4. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution.   The computer solution for the linear program in part (a) provides the following objective coefficient range information:   Variable A   Objective Coefficient: 3.00000   Allowable Increase: 3.00000   Allowable Decrease: 1.00000       Variable B   Objective Coefficient: 2.00000   Allowable Increase: 1.00000   Allowable Decrease: 1.00000   Use this objective coefficient range information to answer parts (b) and (c).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 100P
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Consider the following linear program:
   
Max 3A+2B
s.t.1A+1B≤10
3A+1B≤24
1A+2B≤16
A,B≥0
 
Use the graphical solution procedure to find the optimal solution.
 
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.
 
Assume that the objective function coefficient for A remains 3, but the objective function coefficient for B changes from 2 to 4. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution.
 
The computer solution for the linear program in part (a) provides the following objective coefficient range information:
 
Variable A
 
Objective Coefficient: 3.00000
 
Allowable Increase: 3.00000
 
Allowable Decrease: 1.00000
 
 
 
Variable B
 
Objective Coefficient: 2.00000
 
Allowable Increase: 1.00000
 
Allowable Decrease: 1.00000
 
Use this objective coefficient range information to answer parts (b) and (c).
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,