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OPERATIONS MANAGEMENT EXAM prof. Alberto Portioli Staudacher, Marco Taisch & Matteo Rossini February 2nd, 2021 Exercise 1 (9 points) The Mega Mall is opening its doors for the 1 st time with a special event that can hold up to 500 guests. The event consists in entertainment shows and dinner. The Mall wants to maximize the revenues from this event so they decided to offer two types of tickets: a discounted one that people can buy from 90 days to 30 days before the event at 200 € and a full price one that people can buy from 29 days to the day before the event at 600 €. They can certainly fill the venue selling only discounted tickets. The demand of full price tickets follows a normal distribution with mean 250 and a standard deviation of 50. The Mall is offering a welcome drink to all participants for 10 € each and will be paid by the official sponsor of the event. After the drink, a magic event will be shown for Full participants which cost 25 € per person actually present, paid by the Mall to the magician after the event. For Discounted customers, they can enjoy a gaming board which costs 10 € per person paid by the Mall two weeks before the event. Following that a dinner is offered to both customer types, and that cost s 50 € for Full and 30 € for Discounted paid by the Mall two weeks before the event. The company has rented a security service for a total of 15000€ Data interpolation is not requested. You can take the value that is closest to the one you desire. Question 1) (3 points) Define how many tickets to allocate for each customer segment (Protection Level). Question 2) (2 points) Calculate the probability for the Mega Mall to reach a profit higher than 130 000 €. Question 3) (4 points) The Mega Mall has a building “FUN”. There, we have a movie screening…