Assignment:
Before a show starts at the Coyote theatre patrons arrive at an average rate of 400 per hour. 75% of patrons purchase a ticket at the Box Office. The transaction takes an average of 2 minutes and on average there are 10 people in line. The remaining 25% use the Will-Call window and get their tickets in 1 minute on average. The line to the window is usually shorter with only 2 people waiting. Once a patron has a ticket (either from the Box Office or the Will-Call window) s/he joins a line of 10 people on average for a quick 30-second security check and enters the theatre. S/he then proceeds to the line at the bar where s/he receives a complimentary drink and may purchase an additional item if s/he wishes to. On average 20 people are waiting to be served at the bar and it takes the attendants 4 minutes on average to assist a customer.
Hint: Draw a process flow-chart.
a. On average, how long do patrons that have to purchase a ticket at the Box Office spend in the process until receiving their drink (complete the entire process)?
b. On average, how many people are in the process (from waiting to get a ticket until receiving a drink)?