Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. (a)

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Determine the optimum solution for each of the following LPs by enumerating all the basic solutions.

(a) Maximize z = 2x1 - 4x2 + 5x3 - 6x4

Subject to

x1 + 4x2 - 2x3 + 8x4 ≤ 2

- x1 + 2x2 + 3x3 + 4x4 ≤ 1

x1, x2, x3, x4 ≥ 0

(b) Minimize z = x1 + 2x2 - 3x3 - 2x4

Subject to

X1 + 2x2 - 3x3 + x4 = 4

X1 + 2x2 + x3 + 2x4 = 4

x1, x2, x3, x4 ≥ 0

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Operations Research An Introduction

ISBN: 978-0132555937

9th edition

Authors: Hamdy A. Taha

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Question Posted: Mar 16, 2016 02:34 AM

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Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. (a)

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a Maximize z 2x 1 4x 2 5x 3 6x 4 Subject to X 1 4x 2 2x 3 8x 4 x 5 2 x 1 2x 2 3x 3 4x 4 x 6 1 X 1 x ...View the full answer

Operations Research An Introduction

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