Question: Consider problem minimize x 2 y 2 subject to x 2+ y 21 with two optimal solutions, (x , y)=(0,1). Write down the Lagrange function

Consider problem minimize x 2 y 2 subject to x 2+ y 21 with two optimal solutions, (x , y)=(0,1). Write down the Lagrange function for this problem. Verify that =1 is the Lagrange multiplier for this problem. Check that the saddle point theorem holds for this problem

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