Cakes baked by the Freshfood Bakery are transported fromthe ovens to be packaged by one of three wrappers. Eachwrapper can wrap an average of 120 cakes per hour (Poissondistributed). The cakes are brought to the wrappers at therate of 300 per hour (Poisson distributed). If a cake sitslonger than 5 minutes before being wrapped, it will not befresh enough to meet the bakery’s quality control standards.Does the bakery need to hire another wrapper?

Cakes baked by the Freshfood Bakery are transported fromthe ovens to be packaged by one of three wrappers. Eachwrapper can wrap an average of 120 cakes per hour (Poissondistributed). The cakes are brought to the wrappers at therate of 300 per hour (Poisson distributed). If a cake sitslonger than 5 minutes before being wrapped, it will not befresh enough to meet the bakery’s quality control standards.Does the bakery need to hire another wrapper?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 30P

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Cakes baked by the Freshfood Bakery are transported from the ovens to be packaged by one of three wrappers. Each wrapper can wrap an average of 200 cakes per hour. The cakes are brought to the wrappers at the rate of 500 per hour. If a cake sits longer than 5 minutes before being wrapped, it will not be fresh enough to meet the bakery’s quality control standards. Does the bakery need to hire another wrapper?
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