For the primal and the associated dual problems shown below, use the complementary slackness theorem t find the optimal value of y2 given that the optimal solution of the primal problem is x1=0, x2=4/3, x3=1 - 4x1 6x2 - 5x3 Maximize subject to 2x1 +3x3 23 + 2x3 2 6 x3 ≥ 0. X1, Minimize 3y₁ + 6y₂ Subject to Y₁ ≥-2 Y₂2-2 22 3x2 X2,
For the primal and the associated dual problems shown below, use the complementary slackness theorem t find the optimal value of y2 given that the optimal solution of the primal problem is x1=0, x2=4/3, x3=1 - 4x1 6x2 - 5x3 Maximize subject to 2x1 +3x3 23 + 2x3 2 6 x3 ≥ 0. X1, Minimize 3y₁ + 6y₂ Subject to Y₁ ≥-2 Y₂2-2 22 3x2 X2,
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Question
![For the primal and the associated dual problems shown below, use the complementary slackness theorem to
find the optimal value of y2 given that the optimal solution of the primal problem is x1=0, x2-4/3, x3=1
-
Maximize 4x1
subject to
6x2
-
5x3
2x1
+ 3x3 ≥ 3
3x2
+ 2x3 ≥ 6
X1,
X3 ≥ 0.
Minimize 3y₁ + 6y₂
Subject to
Y₁ ≥-2
Y₂ ≥-2
3y₁ + 2y₂2-5
3₁ ≤0
Y/₂ ≤0
Answer: 0
x2,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cdf2fb6-0c95-4768-b574-5128c3dcaae9%2F41753e6d-c177-45ed-a7b2-e538d72dca18%2F3qz8ax4_processed.png&w=3840&q=75)
Transcribed Image Text:For the primal and the associated dual problems shown below, use the complementary slackness theorem to
find the optimal value of y2 given that the optimal solution of the primal problem is x1=0, x2-4/3, x3=1
-
Maximize 4x1
subject to
6x2
-
5x3
2x1
+ 3x3 ≥ 3
3x2
+ 2x3 ≥ 6
X1,
X3 ≥ 0.
Minimize 3y₁ + 6y₂
Subject to
Y₁ ≥-2
Y₂ ≥-2
3y₁ + 2y₂2-5
3₁ ≤0
Y/₂ ≤0
Answer: 0
x2,
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