A section of the Excel output is shown below: Final Reduced Objective Allowable Allowable Name Value Cost Coefficientincrease Decrease Product A 1500 100 20 40 Product B 1000 200 120 60 What will happen if the objective coefficient for Product B increases to 300? O The objective function value will increase by $100,000 and the optimal solution will also change. O The problem must be recalculated because the increase caused the range of feasibility to be exceedec The objective function value will increase by $100, but the optimal solution will remain the same. O The objective function value will increase by $100,000, but the optimal solution will remain the same. O The problem must be recalculated because the increase caused the range of optimality to be exceeded.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 50P
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A section of the Excel output is shown below:
Final
Reduced
Objective Allowable Allowable
Name
Value
Cost
Coefficientincrease
Decrease
Product A
1500
100
20
40
Product B
1000
200
120
60
What will happen if the objective coefficient for Product B increases to 300?
O The objective function value will increase by $100,000 and the optimal solution will also change.
O The problem must be recalculated because the increase caused the range of feasibility to be exceeded.
The objective function value will increase by $100, but the optimal solution will remain the same.
O The objective function value will increase by $100,000, but the optimal solution will remain the same.
O The problem must be recalculated because the increase caused the range of optimality to be exceeded.
Transcribed Image Text:A section of the Excel output is shown below: Final Reduced Objective Allowable Allowable Name Value Cost Coefficientincrease Decrease Product A 1500 100 20 40 Product B 1000 200 120 60 What will happen if the objective coefficient for Product B increases to 300? O The objective function value will increase by $100,000 and the optimal solution will also change. O The problem must be recalculated because the increase caused the range of feasibility to be exceeded. The objective function value will increase by $100, but the optimal solution will remain the same. O The objective function value will increase by $100,000, but the optimal solution will remain the same. O The problem must be recalculated because the increase caused the range of optimality to be exceeded.
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