Ononot — A hotel has 120 rooms. When the daily rate is \100, all room

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A hotel has $120$ rooms. When the daily rate is $\$ 100 $, all rooms are occupied. For every$ $10 $increase in the rate,$ 5 $fewer rooms are occupied. Each occupied room costs the hotel$ $20$ per day in cleaning and utilities. What daily rate (in dollars) maximizes the hotel's net profit?