Question: 4. Consider the problem Minimize c 4 + 221202 + 203 + 203 subject to (20 1 - 2) 2 + (202 - 2) 2

4. Consider the problem Minimize c 4 + 221202 + 203 + 203 subject to (20 1 - 2) 2 + (202 - 2) 2 + (203 - 3) 2 <6 123 < 10 i _ 0 for i = 2, 3. Let x* = (1, 1, 1)T. (a) Prove that x* satisfies the Kuhn-Tucker conditions. (b) Is x* an optimal solution? Justify your answer rigorously

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