s. t. Max 14x1 + 7x2 2x₁ + 5x₂ ≤ 14 x₁ + 2x₂ ≤ 6 x1 x₁ ≥ 0, X₂ ≥ 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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Consider the following model: (see image)

(a) draw the model in 2-dimentional space (with hands on paper) and show the feasible solution area

(b) solve the model using the Simplex algorithm

(c) State the corresponding dual model

(d) Solve the dual problem using Simplex algorithm 

Max 14x1 + 7x2
s. t.
2x₂ + 5x₂ ≤ 14
x₁ + 2x₂ ≤ 6
x₁ ≥ 0, X₂ ≥ 0
Transcribed Image Text:Max 14x1 + 7x2 s. t. 2x₂ + 5x₂ ≤ 14 x₁ + 2x₂ ≤ 6 x₁ ≥ 0, X₂ ≥ 0
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