probability of stock out?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Hello! I need help solving this with the Newsvendor Model / Equation in Operations Management. I'm stuck!

Sarah and her fiancé are planning for their wedding. Distribution of the number of guests coming to the party is normal with the mean 100 and the standard deviation 10. They need to determine how many guests to book for food from a caterer.

The caterer makes the following charges: $50 for each guest that is booked in advance; $90 for each guest who is not booked in advance but shows up on the wedding day. The caterer does not offer any refund even if some booked guests may not show up.                                                        

 

  1. What is the optimal number of guests to book in advance?
  2. How much Sarah can save by booking the optimal quantity from a) in advance?
  3. What is the expected number of guests that will come to their wedding?
  4. If Sarah and her fiancé book 90 guests in advance with the caterer, what is the probability of stock out?
  5. If Sarah and her fiancé book 100 guests in advance with the caterer, what is the expected number of meals to be wasted?
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