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

Maximize the profit function P (x , y) =50x + 10y subject to the constraints    x, y > 0 and x-y < 3="" and="" 5x="" +="" 2y=""><>