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 decreased to a value of 3, 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). A. 1 only B. 2 only C. 3 only D. 1, 2 and 3 E. Only 1 and 2
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 decreased to a value of 3, 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). A. 1 only B. 2 only C. 3 only D. 1, 2 and 3 E. Only 1 and 2
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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 decreased to a value of 3, 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).
A. 1 only
B. 2 only
C. 3 only
D. 1, 2 and 3
E. Only 1 and 2
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