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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...

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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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