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Use the algebraic method to solve the following optimisation problem. Maximise f(x1, x2) = 3x1+ 2x2 subject to: x1 + x2 < 5, -x1+ 2x2 < 4, 21, 22 > 0. In your answer you must: • Write down the initial augmented matrix and the subsequent ma- trices from which you obtain the basic solutions. • Find all of the basic solutions. State which of the basic solutions are feasible and which are not with a reason. • Show how you obtain the maximum of f.

Use the algebraic method to solve the following optimisation problem. Maximise f(x1, x2) = 3x1+ 2x2 subject to: x1 + x2 < 5, -x1+ 2x2 < 4, 21, 22 > 0. In your answer you must: • Write down the initial augmented matrix and the subsequent ma- trices from which you obtain the basic solutions. • Find all of the basic solutions. State which of the basic solutions are feasible and which are not with a reason. • Show how you obtain the maximum of f.

Linear Algebra: A Modern Introduction
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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Use the algebraic method to solve the following optimisation problem. Maximise f(x1, x2) = 3x1+ 2x2 subject to: x1 + x2 < 5, -x1+ 2x2 < 4, X1, 22 > 0. In your answer you must: • Write down the initial augmented matrix and the subsequent ma- trices from which you obtain the basic solutions. • Find all of the basic solutions. • State which of the basic solutions are feasible and which are not with a reason. • Show how you obtain the maximum of f.
Transcribed Image Text:Use the algebraic method to solve the following optimisation problem. Maximise f(x1, x2) = 3x1+ 2x2 subject to: x1 + x2 < 5, -x1+ 2x2 < 4, X1, 22 > 0. In your answer you must: • Write down the initial augmented matrix and the subsequent ma- trices from which you obtain the basic solutions. • Find all of the basic solutions. • State which of the basic solutions are feasible and which are not with a reason. • Show how you obtain the maximum of f.
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