1) Find the solution of the objective function for problems (a) - (b) below. For each problem, confirm that the optimum satisfies the Kuhn-Tucker conditions. At each solution, describe whether the constraint(s) is binding. a) Minimize the cost function c=5x?-80x+y?-32y subject to the constraints x?y?0 and x+y?20. b) Maximize the profit function ?=50x+10y subject to the constraints x?y?0 and x-y?3 and 5x+2y?20.
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