During peak holiday season, Motel 67 is managing 200 room re…
During peak holiday season, Motel 67 is managing 200 room reservations, each priced at $320 per night. Demand far exceeds availability, so the hotel will sell all 200 reservations. However, historically, some reservations result in no-shows. The number of no-show reservations follows a uniform distribution between 1 and 20. The hotel does not offer refunds for no-shows, and there are no walk-in replacements. For example, if 10 reservations do not show up, only 190 rooms are occupied, but the hotel still receives revenue for all 200 reservations. What is the hotel’s revenue for this night? Hint: Do not overthink this!