A production line has three machines A, B, and C, with reliabilities of .90, .95, and .98, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) c. Which plan will provide the higher reliability?

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
A production line has three machines A, B, and C, with reliabilities of .90, 95, and .98, respectively. The machines are
arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for
increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for
each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three.
a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal
places.)
b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal
places.)
c. Which plan will provide the higher reliability?
Transcribed Image Text:A production line has three machines A, B, and C, with reliabilities of .90, 95, and .98, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) c. Which plan will provide the higher reliability?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
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.