Question

A university has 4200 students . Using the learning curve formula calculate how long the average student will have to wait in the advisors office before being advised in the following circumstance:

The head of registration would like to increase the number of students seen each day because at the previous rate of 300 students a day taking an average of 12 minutes per student it would take 14 working days to see all the students . This is unacceptable because the registration period lasts for only 10 working days. There are 10 advisors working 10 hours a day. What would be the average waiting time per student if 420 students were seen each day for 10 days?

Answer 1

The average waiting time per student, if 420 students were seen each day for 10 days, and each of the 10 advisors works 10 hours a day, would be approximately 130.857 minutes after accounting for a 12-minute session time per student.

Step-by-step explanation:

To calculate the average waiting time per student under the new conditions, we need to consider several factors. First, we know that there are 10 advisors working 10 hours a day, which equates to a total of 100 advising hours available per day. With the goal of seeing 420 students daily, we can calculate the total advising time available per student by dividing the total advising hours by the number of students seen each day.

Total advising time available per student = (10 advisors * 10 hours * 60 minutes) / 420 students = 142.857 minutes per student.

However, this time includes both the advising session and any waiting time. To find the average waiting time, we would need to subtract the average advising session time from this total. Assuming that the time spent per student session remains the same at 12 minutes, we calculate the average waiting time as follows:

Average waiting time per student = Total advising time available per student - Session time = 142.857 minutes - 12 minutes = 130.857 minutes.

Therefore, the average waiting time per student, if 420 students were seen each day for 10 days, would be approximately 130.857 minutes.