There are 5 students and one keg of beer at a wild andcrazy campus party. The time to draw a glass of beer followsan exponential distribution, with an average time of 2minutes. The time to drink a beer also follows an exponentialdistribution, with a mean of 18 minutes. After finishing abeer, each student immediately goes back to get anotherbeer.a On the average, how long does a student wait in linefor a beer?b What fraction of the time is the keg not in use?c If the keg holds 500 glasses of beer, how long, onthe average, will it take to finish the keg?

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question

There are 5 students and one keg of beer at a wild and
crazy campus party. The time to draw a glass of beer follows
an exponential distribution, with an average time of 2
minutes. The time to drink a beer also follows an exponential
distribution, with a mean of 18 minutes. After finishing a
beer, each student immediately goes back to get another
beer.a On the average, how long does a student wait in line
for a beer?
b What fraction of the time is the keg not in use?
c If the keg holds 500 glasses of beer, how long, on
the average, will it take to finish the keg?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.