Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x + y=75 and P = x y is maximized a. Solve x + y = 75 for y. y =0 b. Substitute the result from part a into the equation P = x y for the variable that is to be maximized. P = c. Find the domain of the function P found in part b. (Simplify your answer. Type your answer in interval notation.) d. Find dp dP dx . Solve the equation dx =0. dP dx Solve the equation. x= (Use a comma to separate answers as needed.) e. Evaluate P at any solutions found in part d, as well as the endpoints of the domain found in part c. Find P(0). P(0) = (Simplify your answer.) Determine P(50). P(50) = (Simplify your answer.) Find DryCI Time Remaining: 00:31:06