Homework Help is Here – Start Your Trial Now!
Business
Operations Management
n a coffee shop, there are 4 baristas serving customers standing in a single queue. Customers arrive every 6 minutes on average, and one barista can serve an order in an average of 20 minutes. Customers’ arrivals tend to follow a Poisson distribution and service times tend to be negative exponential. The hourly salary of a barista is $10 per hour, but owner loses about $10 per hour of customer waiting for a barista to take an order. The average time (in hours) that customers must wait before a barista takes their orders. (please round your answer to THREE decimal places)  ______ The hourly cost associated with patient waiting in the coffee shop. (please round your answer to ONE decimal place)  ______ The total hourly cost in the coffee shop. (please round your answer to ONE decimal place)

n a coffee shop, there are 4 baristas serving customers standing in a single queue. Customers arrive every 6 minutes on average, and one barista can serve an order in an average of 20 minutes. Customers’ arrivals tend to follow a Poisson distribution and service times tend to be negative exponential. The hourly salary of a barista is $10 per hour, but owner loses about $10 per hour of customer waiting for a barista to take an order. The average time (in hours) that customers must wait before a barista takes their orders. (please round your answer to THREE decimal places)  ______ The hourly cost associated with patient waiting in the coffee shop. (please round your answer to ONE decimal place)  ______ The total hourly cost in the coffee shop. (please round your answer to ONE decimal place)

Practical Management Science
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 9P
See similar textbooks
icon
Related questions
Question

In a coffee shop, there are 4 baristas serving customers standing in a single queue. Customers arrive every 6 minutes on average, and one barista can serve an order in an average of 20 minutes. Customers’ arrivals tend to follow a Poisson distribution and service times tend to be negative exponential. The hourly salary of a barista is $10 per hour, but owner loses about $10 per hour of customer waiting for a barista to take an order.

  1. The average time (in hours) that customers must wait before a barista takes their orders. (please round your answer to THREE decimal places)  ______
  2. The hourly cost associated with patient waiting in the coffee shop. (please round your answer to ONE decimal place)  ______
  3. The total hourly cost in the coffee shop. (please round your answer to ONE decimal place)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
SEE MORE TEXTBOOKS