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maximize Subject to Z= 50x₁ +80x₂ +64x3 + 80x4 5x₁2.5x₂ + 4.5x3 +3.99x4 ≤ 600 4.1x₁ + 2.6x₂ +5.5x3 +1.9x4≤ 500 15x₁22x₂ +18x3 +25x4≤ 400 8x₁ + 12.6x2 +9.7x3 +10.55x4≤ 1700 x₂ + x₂ X₁ + x₂ + x3 + x4 ≥ 0.60 X1, X2, X3, X4 20 (a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded from the formulation?

maximize Subject to Z= 50x₁ +80x₂ +64x3 + 80x4 5x₁2.5x₂ + 4.5x3 +3.99x4 ≤ 600 4.1x₁ + 2.6x₂ +5.5x3 +1.9x4≤ 500 15x₁22x₂ +18x3 +25x4≤ 400 8x₁ + 12.6x2 +9.7x3 +10.55x4≤ 1700 x₂ + x₂ X₁ + x₂ + x3 + x4 ≥ 0.60 X1, X2, X3, X4 20 (a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded from the formulation?

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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maximize Subject to Z = 50x₁ + 80x2 +64x3 + 80x4 5x₁2.5x₂ + 4.5x3 +3.99x4≤ 600 2.6x₂ +5.5x3 +1.9x4500 22x₂ +18x3 +25x4 ≤ 400 12.6x2 +9.7x3 +10.55x4≤ 1700 4.1x₁ + 15x₁ + 8x₁ + x₁ + X₂ X₁ + X₂ + x3 + X4 ≥ 0.60 X1, X2, X3, X4 20 (a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded from the formulation?
Transcribed Image Text:maximize Subject to Z = 50x₁ + 80x2 +64x3 + 80x4 5x₁2.5x₂ + 4.5x3 +3.99x4≤ 600 2.6x₂ +5.5x3 +1.9x4500 22x₂ +18x3 +25x4 ≤ 400 12.6x2 +9.7x3 +10.55x4≤ 1700 4.1x₁ + 15x₁ + 8x₁ + x₁ + X₂ X₁ + X₂ + x3 + X4 ≥ 0.60 X1, X2, X3, X4 20 (a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded from the formulation?
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