Use the dual method to solve: Minimize z = 8x1 + 5x2 + 12x3 subject to x1 x2 x₁ + x₂ + x3 ≥ 37 3x1 + x₂ + 3x3 ≥ 81 3x1 + 6x2 + 8x3 > 216 x1 ≥ 0, x₂ ≥ 0, x3 ≥0
Use the dual method to solve: Minimize z = 8x1 + 5x2 + 12x3 subject to x1 x2 x₁ + x₂ + x3 ≥ 37 3x1 + x₂ + 3x3 ≥ 81 3x1 + 6x2 + 8x3 > 216 x1 ≥ 0, x₂ ≥ 0, x3 ≥0
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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![Use the dual method to solve:
Minimize z = 8x1 + 5x2 + 12x3
subject to
Xx₁ + x₂ + x3 ≥ 37
3x1 + x₂ + 3x3 ≥ 81
3x1 + 6x2 + 8x3 ≥ 216
x1 ≥ 0, x₂ ≥ 0, x3 ≥ 0
minimized at (
) with z =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32e60b16-2585-4d8a-89ab-4b21521ff4c5%2F71274beb-97dd-49d1-bdc1-a3157251e40a%2F8xkzq9_processed.png&w=3840&q=75)
Transcribed Image Text:Use the dual method to solve:
Minimize z = 8x1 + 5x2 + 12x3
subject to
Xx₁ + x₂ + x3 ≥ 37
3x1 + x₂ + 3x3 ≥ 81
3x1 + 6x2 + 8x3 ≥ 216
x1 ≥ 0, x₂ ≥ 0, x3 ≥ 0
minimized at (
) with z =
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