Need help with Question 3 and 4 only Consider the problem:Min 10 + x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0.x,y1. Suppose that (x*, y*) solves this problem. Is there necessarily a value of \*such that (x*,y*, A*) satisfies the KTCs? Justify.2. Write down the KTCs and present the possible solutions.3. Are KTCs sufficient for the optimum to exist? Justify your answer.4. Find the optimal solutions for this problem.

Given Problem: Minx,y 10+x2+y2 subject to 2x2+y2≥2, x≥0 and y≥0 To find: Are KTCs sufficient for…

Answered: Min 10+ x² + y² subject to 2x² + y² ≥…

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Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 41CR: For T:P4R5, and rank (T)=3, find nullity (T).

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Need help with Question 3 and 4 only

Consider the problem:
Min 10 + x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0.
x,y
1. Suppose that (x*, y*) solves this problem. Is there necessarily a value of \*
such that (x*,y*, A*) satisfies the KTCs? Justify.
2. Write down the KTCs and present the possible solutions.
3. Are KTCs sufficient for the optimum to exist? Justify your answer.
4. Find the optimal solutions for this problem.

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