A production line has three machines A, B, and C, with reliabilities of .90, 95, and .98, respectively. The machines arearranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs forincreasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup foreach 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 decimalplaces.)b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimalplaces.)c. Which plan will provide the higher reliability?

The above-given question is to calculate the reliability of the plan according to the given data.…

Answered: A production line has three machines A,…

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...

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A production line has three machines A, B, and C, with reliabilities of 90, 95, and 94, 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.) Answer is complete but not entirely correct. Reliability 0.9859 b. Compute overall system reliability under Plan 2 (Round your intermediate calculations and final answer to 4 decimal places.)

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