3. Consider the problem min x x,yER s.t. (x – 1)? + (y – 1)? < 1 (x – 1)? + (y + 1)² <1 Draw the choice set to argue the solution to this problem is (1,0). Argue that the KKT condition does not hold at the optimum (1,0). Then, find the reason that the KKT condition does not hold at the optimum by discussing the constraint qualification condition.

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