The johnson manufacturing company operates six identical


Question: The Johnson Manufacturing Company operates six identical machines that are serviced by a single technician when they break down. Breakdowns occur according to the Poisson distribution and average 0.03 breakdowns per machine operating hour. Average repair time for a machine is five hours and follows the exponential distribution.

(a) What percentage of the technician's time is spent repairing machines?

(b) On average, how long is a machine out of service because of a breakdown?

(c) On average, how many machines are out of service?

(d) Johnson wants to investigate the economic feasibility of adding a second technician. Each technician costs the company $18 per hour. Each hour of machine downtime costs $120. Should a second technician be added?

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Basic Statistics: The johnson manufacturing company operates six identical
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