A total of 40 customers/ hour frequent Chris'. What is the implied utilization at the espresso station? Provide your answer in decimal form, and round to 4 decimal places. (So, if your answer is 89.25%, please provide the answer as 0.8925)

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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Chris has three different workstations: one for drip coffee, one for espresso drinks, and one to prepare food. During the morning rush, Chris has 5 people working: one person at the drip coffee station, two at the espresso station, and two at the food prep station. These employees are not cross-trained, and thus must stay at their station.

On average, it takes the person at the drip coffee station 1 minute to make the coffee. On average, it takes one person working at the espresso station 3 minutes to make one espresso drink. On average, it takes one person working at the food station 4.5 minutes to prepare the food for one customer.

The customer mix is as follows. 10% order just a drip coffee, 30% order a drip coffee and food, 35% order just an espresso drink, and 25% order an espresso drink plus food.

A total of 40 customers/ hour frequent Chris'. What is the implied utilization at the espresso station? Provide your answer in decimal form, and round to 4 decimal places. (So, if your answer is 89.25%, please provide the answer as 0.8925)

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