Consider the LP, maximize z = CX subject to aX b, X 0, where b

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Consider the LP, maximize z = CX subject to aX …

b, X Ú 0, where b Ú 0. Suppose that the entering vector pj is such that at least one element of B -1pj is positive.

(a) If pj is replaced with apj, where a is a positive scalar, and provided xj remains the entering variable, find the relationship between the values of xj corresponding to pj and apj.

(b) Answer Part

(a) if, additionally, b is replaced with bb, where b is a positive scalar.

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Operations Research: An Introduction

ISBN: 9352865277

10th Global Edition

Authors: Hamdy A Taha

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