. QUESTION 10 Let's fast-forward the time to Feb 2022. Suppose you are managing a hotel with 300 rooms in Austin. The South by Southwest festival is coming up. Film/music fans either book a room in advance or wait until the last minute. Here are the prices you charge for the two cases: Advance booking: $100ight Late booking: $500ight Suppose you can easily get 300 advance reservations, and fill up your hotel. The number of last minute customers is uniformly distributed with between 20 and 100. How many rooms should be set aside for last-minute customers