Single-Server Queuing Analysis
The Gabe Center for the Arts has one single ticket station open in person throughout the day. It takes a customer service representative 5 minutes to start and finish a ticket order. Patrons arrive to purchase tickets at a rate of 6 people per hour.
A) Determine the average number of people that will stack up waiting in line.
B) Find the average time a person must wait before they can be helped.
C) Calculate the average time a customer spends in the queue waiting to be helped.
D) The Gabe Center for the Arts has a rule that, on average, a customer service representative can spend a maximum of 5 minutes helping out every customers. There must be 5 minutes of idle time available to relieve tension. Will the ticket office have to schedule an extra person?