(a) Prove that if z j c j > 0 ( <0) for all the nonbasic...

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(a) Prove that if z_j − c_j > 0 (<0) for all the nonbasic variables x_j of a maximization (minimization) LP problem, then the optimum is unique.

(b) Else, if z_j – c_j equals zero for a nonbasic x_j, then the problem has an alternative optimum solution.

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Operations Research An Introduction

ISBN: 9780137625727

11th Edition

Authors: Hamdy A. Taha

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Question Posted: Feb 23, 2023 07:47 AM

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(a) Prove that if z j c j > 0 ( <0) for all the nonbasic...

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Let NB be the set of nonbasic variables at any iterations then a it follows that x j 0j ...View the full answer

Operations Research An Introduction

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