Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 3.0 per hour. It will take Benny an average of 14 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. Average number of customers waiting b. The average time a customer waits. Note: Round your answer to 2 decimal places. Average waiting time minutes

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival
distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a
rate of 3.0 per hour. It will take Benny an average of 14 minutes to give a haircut. Based on these figures, find the following:
a. The average number of customers waiting.
Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.
Average number of customers waiting
b. The average time a customer waits.
Note: Round your answer to 2 decimal places.
Average waiting time
minutes
Transcribed Image Text:Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 3.0 per hour. It will take Benny an average of 14 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. Average number of customers waiting b. The average time a customer waits. Note: Round your answer to 2 decimal places. Average waiting time minutes
c. The average time a customer is in the shop.
Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
Average time
minutes
d. The average utilization of Benny's time.
Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
Average utilization
%
Transcribed Image Text:c. The average time a customer is in the shop. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place. Average time minutes d. The average utilization of Benny's time. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place. Average utilization %
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