Maximize subject to Z = X₁ +5x₂ + x3 + 8x4 X₁ + 4x₂ + x3 + x4 ≤60 X₂ + 5x3 + x4 ≤ 100 X1 x₁20, X₂ ≥0, X3 ≥0, x4 ≥0 2x₁ + 2X1

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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Question
Use simplex method to find maximum
Maximize
subject to
Z=X1
Z = X₁ + 5x₂ + x3 + 8x4
X₁ +
2x₁ +
4x2 +
x₂ +
x3 + x4 ≤ 60
5x3 + x4≤100
x₁ ≥ 0, X₂ ≥ 0, X3 ≥0, x4 ≥0
Transcribed Image Text:Maximize subject to Z=X1 Z = X₁ + 5x₂ + x3 + 8x4 X₁ + 2x₁ + 4x2 + x₂ + x3 + x4 ≤ 60 5x3 + x4≤100 x₁ ≥ 0, X₂ ≥ 0, X3 ≥0, x4 ≥0
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