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A) B) Which of the following are goal programming problems and why? Maximize utility subject to Maximize cost subject to - 3X₁ + 5X2 +99X3 C) Maximize Z z Pidi + Pad₂ + Pj subject to X₁ = 10 X₂ = 5 X, 18 - 25X₁ + 30X₂ + 8X₁X₂ X₁ + 0.0005X₁ - X₂ = 12 X₂ - 11 D) X₁ + X₂ + d-di <-300 X₂ + d₂d₂ <-200 dj-di <-100 Maximize utility subject to E) Maximize cost subject to - 3X₁ + 4X₂ xỉ - 5832 B 3X₁ + 4X₂ = 12 18X₁ + 5X₂ + X² 4X₁ - 3X₂8 X₁ + X₂ 18

A) B) Which of the following are goal programming problems and why? Maximize utility subject to Maximize cost subject to - 3X₁ + 5X2 +99X3 C) Maximize Z z Pidi + Pad₂ + Pj subject to X₁ = 10 X₂ = 5 X, 18 - 25X₁ + 30X₂ + 8X₁X₂ X₁ + 0.0005X₁ - X₂ = 12 X₂ - 11 D) X₁ + X₂ + d-di <-300 X₂ + d₂d₂ <-200 dj-di <-100 Maximize utility subject to E) Maximize cost subject to - 3X₁ + 4X₂ xỉ - 5832 B 3X₁ + 4X₂ = 12 18X₁ + 5X₂ + X² 4X₁ - 3X₂8 X₁ + X₂ 18

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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A) B) Which of the following are goal programming problems and why? Maximize utility subject to - 3X₁ + 5X2 + 99X3 X₁ = 10 X₂ = 5 X3 = 18 Maximize cost - 25X₁ + 30X₂ + 8X₁ X₂ subject to X₁ 0.0005X₁ 28 X₂ = 12 X₂ - 11 C) Maximize Z subject to Z-Pidi + Pad₂ + P3* X₁ + X₂ + d₁d₁ - 300 - X₂ + d₂d₂ - 200 dydz <-100 E) Maximize cost subject to X₁ + D) Maximize utility subject to - 3X₁ + 4X₂ xỉ - 5X, = $ 3X₁ + 4X₂ = 12 - 18X₁ + 5X2 + x² 4X₁3X₂8 X₁ + X₂ = 18
Transcribed Image Text:A) B) Which of the following are goal programming problems and why? Maximize utility subject to - 3X₁ + 5X2 + 99X3 X₁ = 10 X₂ = 5 X3 = 18 Maximize cost - 25X₁ + 30X₂ + 8X₁ X₂ subject to X₁ 0.0005X₁ 28 X₂ = 12 X₂ - 11 C) Maximize Z subject to Z-Pidi + Pad₂ + P3* X₁ + X₂ + d₁d₁ - 300 - X₂ + d₂d₂ - 200 dydz <-100 E) Maximize cost subject to X₁ + D) Maximize utility subject to - 3X₁ + 4X₂ xỉ - 5X, = $ 3X₁ + 4X₂ = 12 - 18X₁ + 5X2 + x² 4X₁3X₂8 X₁ + X₂ = 18
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