As manager of The Fitness Center, Dana is constantly try-ing new initiatives to keep her clients fit. Recent studies show that using several different cardio regimens for shortperiods of time is more effective than an extended periodof time on one type of equipment. Dana has taken some ofthe existing cardio equipment and arranged them in a lineas follows: stationary bike, treadmill, stair stepper. Clients would select this part of the gym for cardio “circuit train-ing,” spending 15 minutes at each piece of equipment for a total cardio workout time of 45 minutes.a. If the reliability of the bike is 96%, the treadmill is 95%,and the stair stepper is 92%, what is the probability thata client can complete his or her workout uninterruptedby faulty equipment?b. Dana has added a second cardio “line” for circuittraining with the same type of equipment as the firstline. This equipment, however, is older with reliabilitiesof 80% each. If only one client were using the cardiocircuit training section of the gym, the second linecould be used as a backup for faulty equipment. Whatis the revised probability of completing a workoutuninterrupted?

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
Question

As manager of The Fitness Center, Dana is constantly try-
ing new initiatives to keep her clients fit. Recent studies

show that using several different cardio regimens for short
periods of time is more effective than an extended period
of time on one type of equipment. Dana has taken some of
the existing cardio equipment and arranged them in a line
as follows: stationary bike, treadmill, stair stepper. Clients

would select this part of the gym for cardio “circuit train-
ing,” spending 15 minutes at each piece of equipment for a

total cardio workout time of 45 minutes.
a. If the reliability of the bike is 96%, the treadmill is 95%,
and the stair stepper is 92%, what is the probability that
a client can complete his or her workout uninterrupted
by faulty equipment?
b. Dana has added a second cardio “line” for circuit
training with the same type of equipment as the first
line. This equipment, however, is older with reliabilities
of 80% each. If only one client were using the cardio
circuit training section of the gym, the second line
could be used as a backup for faulty equipment. What
is the revised probability of completing a workout
uninterrupted?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Purchasing
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
  • SEE MORE 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.