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A tool crib with one attendant serves a group of 10 mechanics. Mechanics work for an exponentially distributed amount of time with a mean of

A tool crib with one attendant serves a group of 10 mechanics.

Mechanics work for an exponentially distributed amount of time with a mean

of 20 minutes, then go to the crib to request a special tool. Service times

by the attendant are exponentially distributed, with a mean of 3 minutes.

If the number of attendants can now be changed and if an attendant is paid

$6 per hour and a mechanic is paid $10 per hour, determine the number of

attendants that should serve in the system in order to minimize the total

cost per hour to the system.

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