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 objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE?   The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero).

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE?

 

  1. The optimal solution would change.

  2. The optimal objective function value would stay the same.

  3. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero).

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