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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.

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.

Advanced Engineering Mathematics
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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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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