Consider that there are four items that can fit inside a 13-pound-capacity backpack. The respective weights of the items are 5.7, 4, and 3 pounds. Their respective utilities are 8, 11, 6, and 4 utils. Determine the optimal solution that maximizes the overall usefulness of the backpack.

Consider that there are four items that can fit inside a 13-pound-capacity backpack. The respective weights of the items are 5.7, 4, and 3 pounds. Their respective utilities are 8, 11, 6, and 4 utils. Determine the optimal solution that maximizes the overall usefulness of the backpack.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter6: Sensitivity Analysis And Duality

Section6.4: Sensitivity Analysis When More Than One Parameter Is Changed: The 100% Rule

Problem 5P

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Duality

Duality is a linear programming (LP) concept which states that it is possible to interpret every LP problem using two distinct methods, but they will have similar solutions. That means any LP problem can be mentioned in another equivalent form based on identical data.

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