Based on the following sensitivity report, what would be the impact of changing the objective function coefficient for Product_1 to 17 and changing the objective function coefficient for Product_3 to 10? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$2 Product_1 0 −2 12 7 1E+30 $B$3 Product_2 175 0 8 1E+30 9 $B$4 Product_3 0 −1.5 8 3 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 Fill the blanks Applying the 100% rule _________________ because the total change in the objective function coefficients ______________ 100%
Based on the following sensitivity report, what would be the impact of changing the objective function coefficient for Product_1 to 17 and changing the objective function coefficient for Product_3 to 10? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$2 Product_1 0 −2 12 7 1E+30 $B$3 Product_2 175 0 8 1E+30 9 $B$4 Product_3 0 −1.5 8 3 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 Fill the blanks Applying the 100% rule _________________ because the total change in the objective function coefficients ______________ 100%
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.6: The Role Of Risk Aversion
Problem 27P
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Based on the following sensitivity report, what would be the impact of changing the objective function coefficient for Product_1 to 17 and changing the objective function coefficient for Product_3 to 10?
Variable Cells
Cell | Name | Final Value | Reduced Cost | Objective Coefficient | Allowable Increase |
Allowable Decrease |
$B$2 | Product_1 | 0 | −2 | 12 | 7 | 1E+30 |
$B$3 | Product_2 | 175 | 0 | 8 | 1E+30 | 9 |
$B$4 | Product_3 | 0 | −1.5 | 8 | 3 | 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 |
Fill the blanks
Applying the 100% rule _________________ because the total change in the objective function coefficients ______________ 100%
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