Question

Work all problems in terms of hours.

1.) If it takes 5 minutes to serve a customer at a fast food restaurant, the service rate is ______ . (Give the number only, don't include any words. )

2.) Customers arrive at a candy shop every 8 minutes on average. What is the arrival rate? (Give the number only.)

3.) In a single-server queuing system, 10 customers arrive per hour, and 20 customers are served per hour. What is the arrival rate?

Answer 1

1,) 12 customers/ hour

In this question, service rate is asked , in order to find it in hours (specifically asked) we will simply divide 60 by 5 minutes which is nothing but conversion.

service rate = 60/5 =12 customers/hour

which means in one hour 12 customers took service.

2.) 7 customers/ hour (approx.)

In this question, arrival rate is asked , in order to find it in hours (specifically asked) we will simply divide 60 by 8 minutes which is nothing but conversion.

service rate = 60/8 =7.5 customers/hour , we can not quantify human beings in fraction therefore here we will take 7 or 8.

which means in one hour 7 0r 8 customers arrive..

likewise in 3.)

3.) 6 customers / hour