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Question: 1. At Yamli University, the Registrar's office processes students requests towards the end of the Summer. The office has one staff assisting the students. He reported that the mean number of students arriving at the counter is around 5 per hour, and the average time taken to process each request is 10 minutes. Given the Summer rush, the Registrar staff complains that he is overloaded and that many students waste their time queueing for processing their forms. Accordingly, the Senior Registrar wonders if it is cost effective to employ an extra staff for this period at the Counter. So, she checks with the Comptroller's office who informed her that the staff is paid 5 dollars per hour and each student gets reimbursed for parking at the rate of 8 dollars per hour.
a. Determine the average number of students waiting to get their forms at the Counter (including the students being served)
b. What is the average length of time each spends at the Registrar?
c. Calculate the average cost per hour of processing the forms. This will include the cost of time lost by the students
d. Is employing an extra staff warranted?
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