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 X* such that (x*,y*, \*) satisfies the KTCs? Justify. 2. Write down the KTCs and present the possible solutions.

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