2. Solve the following LP model using the simplex method. Minimize z =- 4x1 + 6x2 – 2x3 +4x4 Subject to: X1 + 2x2 + 2x3+ 4x4 < 40 2x1 – x2 + X3 + 2x4 <8 4x1 – 2x2 + x3 – x4 < 10 X1, X2, X3, X4 2 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3BEXP
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Solve the following LP model using the simplex method. 

2.
Solve the following LP model using the simplex method.
Minimize z =- 4x1 +6x2 –- 2x3 +4x4
Subject to:
X1 + 2x2 + 2x3 + 4x4 < 40
2x1 – x2 + x3 + 2x4 <8
4x1 – 2x2 + x3 – x4 < 10
X1, X2, X3, X4 2 0
Transcribed Image Text:2. Solve the following LP model using the simplex method. Minimize z =- 4x1 +6x2 –- 2x3 +4x4 Subject to: X1 + 2x2 + 2x3 + 4x4 < 40 2x1 – x2 + x3 + 2x4 <8 4x1 – 2x2 + x3 – x4 < 10 X1, X2, X3, X4 2 0
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