Question 3. Use complementary slackness to determine if x₁ = 9/7, x₂ = 0, x3 = 1/7 is an optimal solution for the LP: 1 maximize: ₁-2x2 + 3x3 subject to: ₁+x₂ − 2x3 ≤ 1 x₂-3x3 <1 x₁ + x₂ + x3 ≤2 I1, I2, I3 > 0 201

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 4E
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Question 3. Use complementary slackness to determine if £₁ = 9/7, x₂ = 0, 23 = 1/7
is an optimal solution for the LP:
1
maximize: 1-2x2 + 3x3
subject to: ₁ + x2 − 2x3 ≤ 1
211-12-3x3 ≤ 1
I1+I2+I3 ≤2
I1, I2, I3 > 0
Transcribed Image Text:Question 3. Use complementary slackness to determine if £₁ = 9/7, x₂ = 0, 23 = 1/7 is an optimal solution for the LP: 1 maximize: 1-2x2 + 3x3 subject to: ₁ + x2 − 2x3 ≤ 1 211-12-3x3 ≤ 1 I1+I2+I3 ≤2 I1, I2, I3 > 0
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