The registration advisors Western College (WC) help 4,000 students develop their
ID: 368681 • Letter: T
Question
The registration advisors Western College (WC) help 4,000 students develop their class schedules and register for classes each semester. Each advisor works for 10 hours a day during the registration period. WC 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.
Requirements:
1. Calculate how long the average student will have to wait in the advisor's office before being advised.
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 400 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 400 students were seen each day?
3. WC wants to know the effect of reducing the average advising time on the average wait time. If WC can reduce the average advising time to 11 minutes, what would be the average waiting time if 400 students were seen each day?
Ave students per day) x Time per student)2 (Ave students per day) x (Time per student2 - Wait time 2 x [Max time available (Ave students per day x Time per student)]Explanation / Answer
1)
Avg students per day = 300
Time per student = 12 minutes
Max available time = Number of advisors * number of hours per day * 60 minutes per hour = 10*10*60 = 6000 minutes per day
Average wait time = 300*122/(2*(6000 - 300*12)) = 9 minutes
2) With Avg students per day = 400 students per day
Average wait time = 400*122/(2*(6000 - 400*12)) = 24 minutes
3) With Avg students per day = 400 students per day, and,
Time per student = 11 minutes
Average wait time = 400*112/(2*(6000 - 400*11)) = 15.125 minutes