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What is the shadow price of constraint 3? min z = x₁ + x2- 4x3 s.t. 6 X₁ + x₂ + 2x3 59 ks 52 -X1 X₂ X3 ≤4 X3 20 X1 + X₂- XL, X2, 2 1 0 0 0 X1 0 1 0 0 X₂ -4 -1/3 2 C X3 0 0 0 1 51 $2 b 1/3 0 What is the optimal objective function value of the dual of this LP? 0 1 53 -2 0 1/3 0 1/3 RHS -17 -2/3 1/3 1 6 a

What is the shadow price of constraint 3? min z = x₁ + x2- 4x3 s.t. 6 X₁ + x₂ + 2x3 59 ks 52 -X1 X₂ X3 ≤4 X3 20 X1 + X₂- XL, X2, 2 1 0 0 0 X1 0 1 0 0 X₂ -4 -1/3 2 C X3 0 0 0 1 51 $2 b 1/3 0 What is the optimal objective function value of the dual of this LP? 0 1 53 -2 0 1/3 0 1/3 RHS -17 -2/3 1/3 1 6 a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the shadow price of constraint 3? min z = x₁ + x2 - 4x3 s.t. 6 X₁ + x2 + 2xy S9 ks <2 -X1 X2 X3 ≤4 X2, X3 20 X1 + X₂- s.t. X1, min z = X₁ + X2- 4x3 X₁ + x₂ + 2xy S9 k₁ 52 -X₁ X₂ X 54 Xs 20 X₁ + X₂- z X1, X21 1 0 0 0 2 1 X1 0 0 0 1 0 O X1 0 1 0 X₂ 0 -4 What is the optimal objective function value of the dual of this LP? -1/3 2 C X₂ 4 1/3 2 X3 0 C 0 0 0 X₁ 0 S1 $2 0 b 1 1/3 0 1 1/3 0 b 0 1/3 51 $2 1/3 1 0 -2/3 $3 0 -2 1 1/3 $3 2/3 1 1/3 RHS -17 1/3 6 RHS -17 1/3
Transcribed Image Text:What is the shadow price of constraint 3? min z = x₁ + x2 - 4x3 s.t. 6 X₁ + x2 + 2xy S9 ks <2 -X1 X2 X3 ≤4 X2, X3 20 X1 + X₂- s.t. X1, min z = X₁ + X2- 4x3 X₁ + x₂ + 2xy S9 k₁ 52 -X₁ X₂ X 54 Xs 20 X₁ + X₂- z X1, X21 1 0 0 0 2 1 X1 0 0 0 1 0 O X1 0 1 0 X₂ 0 -4 What is the optimal objective function value of the dual of this LP? -1/3 2 C X₂ 4 1/3 2 X3 0 C 0 0 0 X₁ 0 S1 $2 0 b 1 1/3 0 1 1/3 0 b 0 1/3 51 $2 1/3 1 0 -2/3 $3 0 -2 1 1/3 $3 2/3 1 1/3 RHS -17 1/3 6 RHS -17 1/3
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