Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1, x2, x3) = 3x1 + x2 + 2x3 subject to: 3x1 + 2x2 + x3 < 8 X1 + 2x2 + 2x3 < 4, X1, X2, x3 > 0. You must address each of the 5 steps of the algorithm as presented in the course notes and videos in your answer.

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 2CEXP
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Use the simplex algorithm to solve the following linear optimisation
problem: maximise f(x1, x2, x3) = 3x1+ x2 + 2x3 subject to:
3x1 + 2x2 + x3 < 8
x1+ 2x2 + 2x3 < 4,
X1, X2, x3 > 0.
You must address each of the 5 steps of the algorithm as presented in
the course notes and videos in your answer.
Transcribed Image Text:Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1, x2, x3) = 3x1+ x2 + 2x3 subject to: 3x1 + 2x2 + x3 < 8 x1+ 2x2 + 2x3 < 4, X1, X2, x3 > 0. You must address each of the 5 steps of the algorithm as presented in the course notes and videos in your answer.
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