Answered: How to solve this problem with the dual…

How to solve this problem with the dual simplex algorithm: max 60x1 + 30x2 + 20x3 subject to 8x1 + 6x2 + x3 <= 48 4x1 + 2x2 + 1.5x3 <= 20 2x1 + 1.5x2 + 0.5x3 <= 8 x1 + x2 + x3 <= 11 x1,x2,x3 >= 0

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 7BEXP

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Question

How to solve this problem with the dual simplex algorithm:

max 60x1 + 30x2 + 20x3
subject to
8x1 + 6x2 + x3 <= 48
4x1 + 2x2 + 1.5x3 <= 20
2x1 + 1.5x2 + 0.5x3 <= 8
x1 + x2 + x3 <= 11

x1,x2,x3 >= 0

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