1) Find the solution of the following objective function. For each problem, confirm that the optimum satisfies the Kuhn-Tucker conditions and describe whether the constraint is binding. a) Minimize the cost function C (x , y) = 5x2 80x + V2 323,4r subject to the constraints x, v 10 and x + y g 20. b) Maximize the profit function P (x , y) =50x + 10y subject to the constraints x, y g 0 and x-y 5 3 and 5x + 2;: