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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.4: The Addition-or-subtraction Method
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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 =
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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