2 Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solvesthis maximisation problem?Your Answer:AnswerHide hint for Question 1First, write the Lagrangian. Remember to rewrite the inequality constraint in the form0 ... beforehand. You should get two first order conditions as usual from it: Ly = 0and Ly = 0.For the third equation, using the complementary slackness condition. There are twocases:1. constraint holds with strict equality and the multiplier is non-negative2. constraint holds with strict inequality and the multiplier is zeroEach case should come with one equation and one check to perform on the potentialcritical points. Find all potential critical points in every case. If there is more than onecritical point, then compare them to find the maximum.

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Answered: Consider maximising 10 - x2 - 4y2 + 2xy…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation problem?