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Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4 + 2x5 < 11 6x2 + 4x3 + 7x4 + s.t. r5 < 14 X1, 12, 13, 14, 15 20. (a) Solve the problem by the simplex method (b) Formulate the dual LP and give the optimal solution of the dual LP (c) How much should the objective coefficient of x5 increase, to make r5 enter the basis?

Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4 + 2x5 < 11 6x2 + 4x3 + 7x4 + s.t. r5 < 14 X1, 12, 13, 14, 15 20. (a) Solve the problem by the simplex method (b) Formulate the dual LP and give the optimal solution of the dual LP (c) How much should the objective coefficient of x5 increase, to make r5 enter the basis?

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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Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 3x2 + 4x3 + 5x4 + 2x5 12x1 + < 11 r5 < 14 s.t. 6x2 + 4x3 + 7x4 + X1, 12, 13, 14, 15 20. (a) Solve the problem by the simplex method (b) Formulate the dual LP and give the optimal solution of the dual LP (c) How much should the objective coefficient of x, increase, to make r, enter the basis?
Transcribed Image Text:Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 3x2 + 4x3 + 5x4 + 2x5 12x1 + < 11 r5 < 14 s.t. 6x2 + 4x3 + 7x4 + X1, 12, 13, 14, 15 20. (a) Solve the problem by the simplex method (b) Formulate the dual LP and give the optimal solution of the dual LP (c) How much should the objective coefficient of x, increase, to make r, enter the basis?
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