ATTENTION:

you Must answer the question correctly.

Don't start solving for variables. Instead, write the lagragian, all FOCs, Kuhn-Tucker conditions and see if answer satisfy each, solutions of max & min, state if a solution is binding or not... etc.

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-5x2-80x + y2-32y subject to the constraints x, y and x +y 2 20. 0 b) Maximize the profit function 3 and 5x + 2y 20. -50x + 10y subject to the constraints x, y 0 and x-y 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-5x2-80x + y2-32y subject to the constraints x, y and x +y 2 20. 0 b) Maximize the profit function 3 and 5x + 2y 20. -50x + 10y subject to the constraints x, y 0 and x-y