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2. Constrained Optimization I (45 points) Consider the following problem: min x, 2 + (x2 - 2)2 s.t. (2x1 - 2)2 + x2 $ 5

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2. Constrained Optimization I (45 points) Consider the following problem: min x, 2 + (x2 - 2)2 s.t. (2x1 - 2)2 + x2 $ 5 X1+ x2 24 a) Find the optimal solution graphically. b) Formulate the KKT conditions for this problem. c) Using a) and b): what are the values for the Lagrange Multipliers

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