Refer to the following sensitivity report:   Variable Cells   Cell Name Final Value Reduced Cost  Objective Coefficient Allowable Increase Allowable Decrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30   Constraints   Cell Name Final Value Shadow Price  Constraint R.H.Side Allowable Increase Allowable Decrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700   If the right-hand side of Resource_C increases to 750, which of the following would be true The objective function value will increase by $1.75   The objective function value will decrease by $1.75   The objective function value will increase by $87.50   The objective function value will decrease by $87.50   None of the answer choices is correct

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.5: Multistage Decision Problems
Problem 17P
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Refer to the following sensitivity report:

 

Variable Cells
 

Cell Name Final Value Reduced Cost  Objective Coefficient Allowable
Increase
Allowable
Decrease
$B$2 Product_1 0 −2 5 2 1E+30
$B$3 Product_2 175 0 7 1E+30 1
$B$4 Product_3 0 −1.5 9 1.5 1E+30

 

Constraints
 

Cell Name Final Value Shadow Price  Constraint R.H.Side Allowable
Increase
Allowable
Decrease
$H$9 Resource_A 0 0 100 1E+30 100
$H$10 Resource_B 525 0 800 1E+30 275
$H$11 Resource_C 700 1.75 700 366.6666667 700

 

If the right-hand side of Resource_C increases to 750, which of the following would be true

  • The objective function value will increase by $1.75

  •  

    The objective function value will decrease by $1.75

  •  

    The objective function value will increase by $87.50

  •  

    The objective function value will decrease by $87.50

  •  

    None of the answer choices is correct

 
 
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