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2. For the following linear program maximize x18x23x3 subject to 2x1 +8x2+2x3 ≤ 4, 2x14x2 3x3 ≤ 4, x12x2 x3 ≤ 1, x1, x2, x30 determine whether x = (0, ½, 0) is an optimal solution using the principle of com- plementary slackness.

2. For the following linear program maximize x18x23x3 subject to 2x1 +8x2+2x3 ≤ 4, 2x14x2 3x3 ≤ 4, x12x2 x3 ≤ 1, x1, x2, x30 determine whether x = (0, ½, 0) is an optimal solution using the principle of com- plementary slackness.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
Problem 4PT
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2. For the following linear program maximize x18x23x3 subject to 2x1 +8x2+2x3 ≤ 4, 2x14x2 3x3 ≤ 4, x12x2 x3 ≤ 1, x1, x2, x30 determine whether x = (0, ½, 0) is an optimal solution using the principle of com- plementary slackness.
Transcribed Image Text:2. For the following linear program maximize x18x23x3 subject to 2x1 +8x2+2x3 ≤ 4, 2x14x2 3x3 ≤ 4, x12x2 x3 ≤ 1, x1, x2, x30 determine whether x = (0, ½, 0) is an optimal solution using the principle of com- plementary slackness.
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