From 3:00 P.M. to 8:00 P.M. the local Big-W Supermarket hasa steady arrival of customers. Customers finish shopping andarrive at the checkout area at the rate of 80 per hour (Poissondistributed). It is assumed that when customers arrive at thecash registers they will divide themselves relatively evenly sothat all the checkout lines are even. The average checkouttime at a register is seven minutes (exponentially distributed).The store manager’s service goal is for customers to be out ofthe store within 12 minutes (on average) after they completetheir shopping and arrive at the cash register. How many cashregisters must the store have open in order to achieve themanager’s service goal?
From 3:00 P.M. to 8:00 P.M. the local Big-W Supermarket hasa steady arrival of customers. Customers finish shopping andarrive at the checkout area at the rate of 80 per hour (Poissondistributed). It is assumed that when customers arrive at thecash registers they will divide themselves relatively evenly sothat all the checkout lines are even. The average checkouttime at a register is seven minutes (exponentially distributed).The store manager’s service goal is for customers to be out ofthe store within 12 minutes (on average) after they completetheir shopping and arrive at the cash register. How many cashregisters must the store have open in order to achieve themanager’s service goal?
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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From 3:00 P.M. to 8:00 P.M. the local Big-W Supermarket has
a steady arrival of customers. Customers finish shopping and
arrive at the checkout area at the rate of 80 per hour (Poisson
distributed). It is assumed that when customers arrive at the
cash registers they will divide themselves relatively evenly so
that all the checkout lines are even. The average checkout
time at a register is seven minutes (exponentially distributed).
The store manager’s service goal is for customers to be out of
the store within 12 minutes (on average) after they complete
their shopping and arrive at the cash register. How many cash
registers must the store have open in order to achieve the
manager’s service goal?
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