1. [5 points] The Hotel Crowne Plaza on Halsted typically has more than enough demand to be fully booked on a Tuesday night at the rate of $150 per night. Unfortunately, there are last minute no- shows. The number of such no-shows has a Poisson distribution with mean 8.5. The manager is proposing an overbooking policy: book more rooms than there are available. But if a customer shows up and no room is available, the hotel must spend $250 in booking a room for the customer somewhere else, and also loses an estimated additional $100 in goodwill. a. Formulate the problem as a Newsvendor problem by specifying the appropriate un- derage and overage costs. [2 points] b. How many rooms should the Manager overbook to maximize revenue? [3 points]