Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Problem 0.0.1. Find the optimal solution of the following linear programming problem using the simplex
method.
Maximize Z= 5x1 + 10x2 + 8x3
subject to 3x1 +5x2+2x3 ≤60
4x1 + 4x2 + 4x3 ≤72
2x1 +4x2+5x3 ≤ 100
X1, X2, X30
(final answer: Z=160, x₁=0, x₂ = 8, x3 = 10)
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Transcribed Image Text:Problem 0.0.1. Find the optimal solution of the following linear programming problem using the simplex method. Maximize Z= 5x1 + 10x2 + 8x3 subject to 3x1 +5x2+2x3 ≤60 4x1 + 4x2 + 4x3 ≤72 2x1 +4x2+5x3 ≤ 100 X1, X2, X30 (final answer: Z=160, x₁=0, x₂ = 8, x3 = 10)
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