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Demand at the Krispy Kreme drive-through has jumped up with the new restrictions on inside dining. Customers are arriving according to a Poisson process, at an average of 5 minutes between customers. It takes 4 minutes to serve a car. There is only one drive through channel. Answer the following questions. a. What model best matches this situation? Model used: (time units) |(time units) arrival rate: per population: ("infinite" or a number) service rate: per servers: b. What is the average number cars in the drive-through, including the one being served? c. How long does it take, on average, for a customer to get the product? (time units) d. What is the probability that a customer will show up and not find anyone in the drive-through? e. What is the probability that there will be 3 or more cars in the drive through when a customer arrives? (don't count the customer who is arriving)

Demand at the Krispy Kreme drive-through has jumped up with the new restrictions on inside dining. Customers are arriving according to a Poisson process, at an average of 5 minutes between customers. It takes 4 minutes to serve a car. There is only one drive through channel. Answer the following questions. a. What model best matches this situation? Model used: (time units) |(time units) arrival rate: per population: ("infinite" or a number) service rate: per servers: b. What is the average number cars in the drive-through, including the one being served? c. How long does it take, on average, for a customer to get the product? (time units) d. What is the probability that a customer will show up and not find anyone in the drive-through? e. What is the probability that there will be 3 or more cars in the drive through when a customer arrives? (don't count the customer who is arriving)

Practical Management Science
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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Demand at the Krispy Kreme drive-through has jumped up with the new restrictions on inside dining. Customers are arriving according to a Poisson process, at an average of 5 minutes between customers. It takes 4 minutes to serve a car. There is only one drive through channel. Answer the following questions. a. What model best matches this situation? Model used: (time units) |(time units) arrival rate: per population: ("infinite" or a number) service rate: per servers: b. What is the average number cars in the drive-through, including the one being served? c. How long does it take, on average, for a customer to get the product? (time units) d. What is the probability that a customer will show up and not find anyone in the drive-through? e. What is the probability that there will be 3 or more cars in the drive through when a customer arrives? (don't count the customer who is arriving)
Transcribed Image Text:Demand at the Krispy Kreme drive-through has jumped up with the new restrictions on inside dining. Customers are arriving according to a Poisson process, at an average of 5 minutes between customers. It takes 4 minutes to serve a car. There is only one drive through channel. Answer the following questions. a. What model best matches this situation? Model used: (time units) |(time units) arrival rate: per population: ("infinite" or a number) service rate: per servers: b. What is the average number cars in the drive-through, including the one being served? c. How long does it take, on average, for a customer to get the product? (time units) d. What is the probability that a customer will show up and not find anyone in the drive-through? e. What is the probability that there will be 3 or more cars in the drive through when a customer arrives? (don't count the customer who is arriving)
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