Quick Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a. What is the average number of cars in the system? b. What is the average time that a car waits for the oil and lubrication service to begin? c. What is the probability that an arrival has to wait for service? *Please solve for a-c typing or neatly writing all your work/steps and answers on paper, NO EXCEL* thank you !
Quick Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a. What is the average number of cars in the system? b. What is the average time that a car waits for the oil and lubrication service to begin? c. What is the probability that an arrival has to wait for service? *Please solve for a-c typing or neatly writing all your work/steps and answers on paper, NO EXCEL* thank you !
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
Quick Oil provides a single-channel automobile oil change and lubrication service.
Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per
hour. Assume that arrivals follow a Poisson probability distribution and that service
times follow an exponential probability distribution.
a. What is the average number of cars in the system?
b. What is the average time that a car waits for the oil and lubrication service
to begin?
c. What is the probability that an arrival has to wait for service?
*Please solve for a-c typing or neatly writing all your work/steps and answers on paper, NO EXCEL* thank you !
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