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In Exercises 6 and 7, solve the given linear programming problem using the simplex method. Also, set up and solve the dual of the given problem. Finally, verify that your solutions satisfy part (b) (iii) of the Duality Theorem. 6. Minimize z = 4x + 6y subject to x + 3y > 5 2х + y2 3 х2 0, у20.

In Exercises 6 and 7, solve the given linear programming problem using the simplex method. Also, set up and solve the dual of the given problem. Finally, verify that your solutions satisfy part (b) (iii) of the Duality Theorem. 6. Minimize z = 4x + 6y subject to x + 3y > 5 2х + y2 3 х2 0, у20.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve the problem, set up and solve the dual problem, then check they satisfy the duality theorems. 

In Exercises 6 and 7, solve the given linear programming problem using the simplex method. Also, set up and solve the dual of the given problem. Finally, verify that your solutions satisfy part (b) (iii) of the Duality Theorem. 6. Minimize z = 4x + 6 y subject to x + 3y 2 5 2х + у2 3 x 2 0, y > 0. 3.2 The Duality Theorem 183 7. Мaximize 8x, + 9x2 + 5x3 subject to X1 + x2 + 2x3 < 2 2х, + 3x, + 4x; < 3 Зх, + 3х, + хз < 4 X; 2 0, j= 1,2,3
Transcribed Image Text:In Exercises 6 and 7, solve the given linear programming problem using the simplex method. Also, set up and solve the dual of the given problem. Finally, verify that your solutions satisfy part (b) (iii) of the Duality Theorem. 6. Minimize z = 4x + 6 y subject to x + 3y 2 5 2х + у2 3 x 2 0, y > 0. 3.2 The Duality Theorem 183 7. Мaximize 8x, + 9x2 + 5x3 subject to X1 + x2 + 2x3 < 2 2х, + 3x, + 4x; < 3 Зх, + 3х, + хз < 4 X; 2 0, j= 1,2,3
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