Chapter 19, Problem 19.25E

Waiting time, service industry. The registration advisors at a small Midwestern university (SMU) help 4,200 students develop their class schedules and register for classes each semester. Each advisor works for 10 hours a day during the registration period. SMU currently has 10 advisors. While advising an individual student can take anywhere from 2 to 30 minutes, it takes an average of 12 minutes per student. During the registration period, the 10 advisors see an average of 300 students a day on a first-come, first-served basis.

1. 1. Using the formula on page 762, calculate how long the average student will have to wait in the advisor’s office before being advised.

Required

1. 2. The head of the registration advisors would like to increase the number of students seen each day because at 300 students a day it would take 14 working days to see all of the students. This is a problem because the registration period lasts for only 2 weeks (10 working days). If the advisors could advise 420 students a day, it would take only 2 weeks (10 days). However, the head advisor wants to make sure that the waiting time is not excessive. What would be the average waiting time if 420 students were seen each day?
2. 3. SMU wants to know the effect of reducing the average advising time on the average wait time. If SMU can reduce the average advising time to 10 minutes, what would be the average waiting time if 420 students were seen each day?