An answering service for a doctor's office wants to evaluate the service by simulation calls. They used past data to determine the distributions for the time between calls and the time spent on the phone with patients

Use the table below to manually simulate 8 calls. The time of the call and the service time have already been determined.

Customer
Number Time of
Call Time call answered Service
Time Time call ends Customer
Wait Time Operator
Wait Time
1 15 15 25 40 0 15
2 45 45 25 70 0 5
3 70 15
4 95 45
5 125 15 155
6 150 35
7 175 190 25 15 0
8 205 25 240 10 0

Calculate the average waiting time per customer.
Calculate the utilization of the operator.


Answer:
Arrival
Number Time of
Call Time call answered Service
Time Time call end Customer
Wait Time Operator
Wait Time
1 15 15 25 40 0 15
2 45 45 25 70 0 5
3 70 70 15 85 0 0
4 95 95 45 140 0 10
5 125 140 15 155 15 0
6 150 155 35 190 5 0
7 175 190 25 215 15 0
8 205 215 25 240 10 0

Average waiting time per customer = 5.625 minutes
Utilization of operator = 87.5%

Business

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