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3. Use the algebraic method to solve the following optimisation problem. Maximise f(21, æ2) = 3æ1 + 2w2 subject to: 21 + xz < 5, -a1 + 2x2 < 4, *1, X2 2 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

3. Use the algebraic method to solve the following optimisation problem. Maximise f(21, æ2) = 3æ1 + 2w2 subject to: 21 + xz < 5, -a1 + 2x2 < 4, *1, X2 2 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

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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3. Use the algebraic method to solve the following optimisation problem. Maximise f(x1, #2) = 3x1 + 2x2 subject to: 21 + x2 < 5, -a1 + 2x2 < 4, #1, X2 > 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:3. Use the algebraic method to solve the following optimisation problem. Maximise f(x1, #2) = 3x1 + 2x2 subject to: 21 + x2 < 5, -a1 + 2x2 < 4, #1, X2 > 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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