Question

In a bank there is only one window. A solitary employee performs all the service required and the window remains continuously open from 7am to 1pm. It was discovered that an average number of clients is 54 during the day and the average service time is 5mins / person. Find Average number of clients in the system.

Answer 1

To find the average number of clients in the system, use Little's Law to multiply the average arrival rate by the average service time. In this case, the average number of clients in the system is 9.

Step-by-step explanation:

To find the average number of clients in the system, we need to use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

Given that the average arrival rate is 54 clients per day and the average service time is 5 minutes per person, we can calculate the average number of clients in the system as follows:

Average number of clients = Average arrival rate x Average service time

Average number of clients = 54 clients/day x (1 day/24 hours) x (1 hour/60 minutes) x 5 minutes/person

Average number of clients = 9 clients

Therefore, the average number of clients in the system is 9.