Find the solution of the following objective function. Confirm that the optimum satisfies the Kuhn-Tucker conditions and describe whether the constraint is binding: Minimize the cost function C (x ,...

Find the solution of the following objective function. Confirm that the
optimum satisfies the Kuhn-Tucker conditions and describe whether the constraint is binding:

Minimize the cost function C (x , y) = 5x²
– 80x + y²
-32y subject to the constraints x, y > 0 and x + y > 20.