1. A hotel has 290 units. All rooms are occupied when the hotel charges $90 per day for a room. For every increase of :1: dollars in the daily room rate, there are :1: rooms vacant. Each occupied room costs $34 per day to service and maintain. What should the hotel charge per day in order to maximize daily prot? What is the daily prot? How many rooms must be occupied to obtain the maximum daily prot? How many rooms must be vacant to obtain the maximum daily prot