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Estimate a range for the optimal objective value for the following LPs: *(a) Minimize z = 5x₁ + 2x₂ subject to (b) Maximize z = x₁ + 5x₂ + 3x3 subject to X₁ X₂ ≥ 3 2x₁ + 3x₂ = 5 X1, X₂ = 0 x₁ + 2x₂ + x3 = 30 2x1 - x₂ = 40 X1, X2, X30

Estimate a range for the optimal objective value for the following LPs: *(a) Minimize z = 5x₁ + 2x₂ subject to (b) Maximize z = x₁ + 5x₂ + 3x3 subject to X₁ X₂ ≥ 3 2x₁ + 3x₂ = 5 X1, X₂ = 0 x₁ + 2x₂ + x3 = 30 2x1 - x₂ = 40 X1, X2, X30

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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4-17. Estimate a range for the optimal objective value for the following LPs: *(a) Minimize z = 5x₁ + 2x₂ subject to (b) Maximize z = x₁ + 5x₂ + 3x3 subject to X₁ X₂ 3 2x₁ + 3x₂ = 5 X1, X₂ = 0 x₁ + 2x₂ + x3 = 30 2x1 - x₂ = 40 X1, X2, X30
Transcribed Image Text:4-17. Estimate a range for the optimal objective value for the following LPs: *(a) Minimize z = 5x₁ + 2x₂ subject to (b) Maximize z = x₁ + 5x₂ + 3x3 subject to X₁ X₂ 3 2x₁ + 3x₂ = 5 X1, X₂ = 0 x₁ + 2x₂ + x3 = 30 2x1 - x₂ = 40 X1, X2, X30
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