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,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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,
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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