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3. Find the dual of the following problems and solve the primal problems using Dual Simplex Method: a. maximize z = 5x₁ +6x₂ subject to x₁ + 2x₂ = 5 -x1 +5x₂ ≥ 3 4x1+7x₂ ≤ 8 ₁ unrestricted,, x₂ ≥ 0 b. maximize w = 3y1 + 5y2 subject to y1 + 2y2 ≤ 15 2y1 - 4y2 ≤ 12 -91+0y2 ≤0 0y₁ + y2 ≤0 3₁, 2 unrestricted

3. Find the dual of the following problems and solve the primal problems using Dual Simplex Method: a. maximize z = 5x₁ +6x₂ subject to x₁ + 2x₂ = 5 -x1 +5x₂ ≥ 3 4x1+7x₂ ≤ 8 ₁ unrestricted,, x₂ ≥ 0 b. maximize w = 3y1 + 5y2 subject to y1 + 2y2 ≤ 15 2y1 - 4y2 ≤ 12 -91+0y2 ≤0 0y₁ + y2 ≤0 3₁, 2 unrestricted

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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3. Find the dual of the following problems and solve the primal problems using Dual Simplex Method: b. a. maximize z = : 5x₁ + 6x₂ subject to ₁+2x₂ = 5 -T1+572>3 4x1+7x₂ ≤ 8 x1 ₁ unrestricted,,x₂ ≥ 0 > maximize w = 3y₁ + 5y2 subject to y₁ + 2y2 ≤ 15 2y14y2 ≤ 12 -Y1+0y2 ≤ 0 0y₁ + y2 ≤0 91, 92 unrestricted
Transcribed Image Text:3. Find the dual of the following problems and solve the primal problems using Dual Simplex Method: b. a. maximize z = : 5x₁ + 6x₂ subject to ₁+2x₂ = 5 -T1+572>3 4x1+7x₂ ≤ 8 x1 ₁ unrestricted,,x₂ ≥ 0 > maximize w = 3y₁ + 5y2 subject to y₁ + 2y2 ≤ 15 2y14y2 ≤ 12 -Y1+0y2 ≤ 0 0y₁ + y2 ≤0 91, 92 unrestricted
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