Maximize subject to 3x₁ + x₂ + 5x3 ≤ 10 x₁ + 4x₂ + x3 = 8 + 2x3 = 7 2x1 and Z = x₁ + 2x₂ + 4x3, x₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0.
Maximize subject to 3x₁ + x₂ + 5x3 ≤ 10 x₁ + 4x₂ + x3 = 8 + 2x3 = 7 2x1 and Z = x₁ + 2x₂ + 4x3, 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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Question
Transcribed Image Text:DI 4.3-5. Work through the simplex method (in algebraic form)
step by step to solve the following problem.
Maximize
Z = x₁ + 2x₂ + 4x3,
subject to
3x₁ + x₂ + 5x3 ≤ 10
x₁ + 4x₂ + x3 ≤ 8
+ 2x3 = 7
2x1
and
x₁ ≥ 0,
X₂ ≥ 0,
X3 ≥ 0.
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