Consider the following LP model Maximize z 3x1 2x2 5x3 subject to x1 2x2 x3 x4 30 3x1 2x3 x5 60 x1 4x2 x6 20 x2, x2, x3, x4, x5, x6 0 Check the optimality and feasibility of the following basic solutions (a) Basic variables 1x4, x3, x62, Inverse 1 12 0 0 12 0 0 0 1 (b) Basic variables 1x2, x3, x12,...

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Consider the following LP model: Maximize z = 3x1 + 2x2 + 5x3 subject to x1 +

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Consider the following LP model:

Maximize z = 3x1 + 2x2 + 5x3 subject to x1 + 2x2 + x3 + x4 = 30 3x1 + 2x3 + x5 = 60 x1 + 4x2 + x6 = 20 x2, x2, x3, x4, x5, x6 Ú 0 Check the optimality and feasibility of the following basic solutions:

(a) Basic variables = 1x4, x3, x62, Inverse = °
1 -12 0 0 12 0 0 0 1 ¢

(b) Basic variables = 1x2, x3, x12, Inverse = °
14 -18 18 32 -14 -34 -1 12 12 ¢

(c) Basic variables = 1x2, x3, x62, Inverse = °
12 -14 0 0 12 0 -2 1 1 ¢

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Operations Research: An Introduction

ISBN: 9352865277

10th Global Edition

Authors: Hamdy A Taha

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Question Posted: Oct 24, 2024 03:01 AM

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Consider the following LP model: Maximize z = 3x1 + 2x2 + 5x3 subject to x1 +

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Operations Research: An Introduction

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