An average of 36 customers per hour arrives at a bank branch office (Poisson arrival) and wait in a single line to be served by the first available teller. The average time for each teller to service a customer is 4 minutes (exponentially distributed). Each teller earns $160/day and the bank branch office assesses a waiting cost of $50/day that a customer waits in the system. How many tellers should be on duty in this bank branch office to minimize the total cost of this waiting line system? O 2 4
An average of 36 customers per hour arrives at a bank branch office (Poisson arrival) and wait in a single line to be served by the first available teller. The average time for each teller to service a customer is 4 minutes (exponentially distributed). Each teller earns $160/day and the bank branch office assesses a waiting cost of $50/day that a customer waits in the system. How many tellers should be on duty in this bank branch office to minimize the total cost of this waiting line system? O 2 4
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
![An average of 36 customers per hour arrives at a bank branch office (Poisson arrival)
and wait in a single line to be served by the first available teller. The average time for
each teller to service a customer is 4 minutes (exponentially distributed). Each teller
earns $160/day and the bank branch office assesses a waiting cost of $50/day that a
customer waits in the system.
How many tellers should be on duty in this bank branch office to minimize the total
cost of this waiting line system?
2
4
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc52f285d-1ef9-4f74-a9e9-e721d20ce21e%2Fdf44f312-fdd9-449e-a58d-b9167c273d79%2F0wk8nm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An average of 36 customers per hour arrives at a bank branch office (Poisson arrival)
and wait in a single line to be served by the first available teller. The average time for
each teller to service a customer is 4 minutes (exponentially distributed). Each teller
earns $160/day and the bank branch office assesses a waiting cost of $50/day that a
customer waits in the system.
How many tellers should be on duty in this bank branch office to minimize the total
cost of this waiting line system?
2
4
5
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