. (a) A 400-room hotel in New York is filled to capacity every night at $80 a room. For every $2 increase in rent, 4 fewer rooms are rented. How

much should the management charge for each room to maximize revenue? How many rooms will be rented on this price and what is the maximum revenue? -) If each rented room costs $8 to service, how much should the management charge for each room to maximize profit? How many rooms will be rented on is price and what is the maximum profit?