A production line has three machines A, B, and C, with reliabilities of 99, 96, and 93, respectively.

A production line has three machines A, B, and C, with reliabilities of 99, 96, and 93, 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. Which plan will provide the higher reliability?

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b. Explain why the two reliabilities are not the same.

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c. What other factors might enter into the decision of which plan to adopt?

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