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.
1. 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)?
Question options:
a) 12.5 minutes
b) 13 minutes
c) 6.5 minutes
d) 11.2 minutes
2. On average, how many people are in the process (from waiting to get a ticket until receiving a drink)?
Question options:
a) 41.67 people
b) 79.33 people
c) 42 people
d) 83.67 people