A fast-food restaurant has one drive-through window.An average of 40 customers per hour arrive at the window.It takes an average of 1 minute to serve a customer. Assumethat interarrival and service times are exponential.a On the average, how many customers are waiting inline?b On the average, how long does a customer spend atthe restaurant (from time of arrival to time service iscompleted)?c What fraction of the time are more than 3 cars waitingfor service (this includes the car (if any) at the window)?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 8CA
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A fast-food restaurant has one drive-through window.
An average of 40 customers per hour arrive at the window.
It takes an average of 1 minute to serve a customer. Assume
that interarrival and service times are exponential.
a On the average, how many customers are waiting in
line?
b On the average, how long does a customer spend at
the restaurant (from time of arrival to time service is
completed)?
c What fraction of the time are more than 3 cars waiting
for service (this includes the car (if any) at the window)?

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