The Shady Farm Milk Company can process milk at a fixed rate of 7500 gallons/hour.The company’s clients request 100,000 gallons of milk over the course of one day. Thisdemand is spread out uniformly from 8 a.m. to 6 p.m. The company starts producing at8 a.m. and continues to work until all of the demand has been satisfied. At noon, howmany gallons of milk are in the queue to be processed?

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 11P
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The Shady Farm Milk Company can process milk at a fixed rate of 7500 gallons/hour.
The company’s clients request 100,000 gallons of milk over the course of one day. This
demand is spread out uniformly from 8 a.m. to 6 p.m. The company starts producing at
8 a.m. and continues to work until all of the demand has been satisfied. At noon, how
many gallons of milk are in the queue to be processed?

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