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Problem 2 Consider the following problem: max 2x1 + 72 + 4x3 s.t. x1 + 2x2 +x3 < 10 3.x1 + 3x2 + 2.x3 < 10 X1, X2, X3 > 0. Use the dual of this linear program to demonstrate that the optimal value of this problem cannot exceed 25.

Problem 2 Consider the following problem: max 2x1 + 72 + 4x3 s.t. x1 + 2x2 +x3 < 10 3.x1 + 3x2 + 2.x3 < 10 X1, X2, X3 > 0. Use the dual of this linear program to demonstrate that the optimal value of this problem cannot exceed 25.

Practical Management Science
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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Problem 2 Consider the following problem: max 2x1 + 7x2+ 4x3 s.t. x1 + 2x2 + x3 < 10 З^1 + Зх2 + 2л'3 < 10 X1, X2, X3 > 0. Use the dual of this linear program to demonstrate that the optimal value of this problem cannot exceed 25.
Transcribed Image Text:Problem 2 Consider the following problem: max 2x1 + 7x2+ 4x3 s.t. x1 + 2x2 + x3 < 10 З^1 + Зх2 + 2л'3 < 10 X1, X2, X3 > 0. Use the dual of this linear program to demonstrate that the optimal value of this problem cannot exceed 25.
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