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(1) Consider the following LPP: maximize subject to 12 z=x17x2 x3 - 2x4 2x1 1 - - - x1 + x2 11 2 x2 3 21-2 x2 - 5 x3 + x4 ≤1 x3+9x4 ≤0 2x3 1 x3+x4≤0 2x3 x1, x2, x3, x4 ≥ 0 (a) Show that cycling occurs when solving the problem using the Simplex method.

(1) Consider the following LPP: maximize subject to 12 z=x17x2 x3 - 2x4 2x1 1 - - - x1 + x2 11 2 x2 3 21-2 x2 - 5 x3 + x4 ≤1 x3+9x4 ≤0 2x3 1 x3+x4≤0 2x3 x1, x2, x3, x4 ≥ 0 (a) Show that cycling occurs when solving the problem using the Simplex method.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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Question
(1) Consider the following LPP: maximize subject to 12 z=x17x2 x3 - 2x4 2x1 1 - - - x1 + x2 11 2 x2 3 21-2 x2 - 5 x3 + x4 ≤1 x3+9x4 ≤0 2x3 1 x3+x4≤0 2x3 x1, x2, x3, x4 ≥ 0 (a) Show that cycling occurs when solving the problem using the Simplex method.
Transcribed Image Text:(1) Consider the following LPP: maximize subject to 12 z=x17x2 x3 - 2x4 2x1 1 - - - x1 + x2 11 2 x2 3 21-2 x2 - 5 x3 + x4 ≤1 x3+9x4 ≤0 2x3 1 x3+x4≤0 2x3 x1, x2, x3, x4 ≥ 0 (a) Show that cycling occurs when solving the problem using the Simplex method.
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