Consider the following concave programming problem. A firm wants to maximize profit

Consider the following concave programming problem. Arm wants to maximize prot 7r=64x2x2+96y4y220 subject to the production constraint: )6 + y S 36 a. Write out the Lagrangian for this problem and the Kuhn-Tucker conditions (all nine of them!) b. Check whether at = 0, y = 0, or A, = 0 from the Kuhn-Tucker conditions c. Based on your answer to b, briey explain how you would solve for the optimal values of x, y, ,1. You do not actually have to solve for them