Question: Consider the problem: max -x; 2o subject to 2 + 23 > 9, x; > 0 and xs > 0. 1. Suppose that (z7,z3) solves

Consider the problem: max -x; 2o subject to 2 + 23 > 9, x; > 0 and xs > 0. 1. Suppose that (z7,z3) solves this problem. Is there necessarily a value of \\* such that (x7, x5, A\\*) satisfies the KTCs? Justify. 2 marks 2. Write down the KTCs and determine the possible solutions. 3 marks 3. Are the KTCs sufficient for the optimum to exist? Justify your answer. 1 mark 4. Find the optimal solutions for this problem. 1 mark

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