Given the dual D of linear program P : D: min z = 16y - 8y +20y -20y 1) 2y1 +2y3 -2y4 >= 2 2) y1 - y2 + 2y3 - 2y4 >= 2 3) y1 + y2 + 2y3 - 2y4 >= -1 Show that (x1, x2, x3) = (2,8,0) is an optimal solution for P.

Given the dual D of linear program P : D: min z = 16y - 8y +20y -20y 1) 2y1 +2y3 -2y4 >= 2 2) y1 - y2 + 2y3 - 2y4 >= 2 3) y1 + y2 + 2y3 - 2y4 >= -1 Show that (x1, x2, x3) = (2,8,0) is an optimal solution for P.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 28EQ

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Question

Given the dual D of linear program P :

min z = 16y - 8y +20y -20y

1) 2y₁ +2y₃ -2y₄ >= 2

2) y₁ - y₂ + 2y₃ - 2y₄ >= 2

3) y₁ + y₂ + 2y₃ - 2y₄ >= -1

Show that (x₁, x_2, x₃) = (2,8,0) is an optimal solution for P.

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