An average of 10 machinists per hour arrive seeking tools. At present, the tool

Question

An average of 10 machinists per hour arrive seeking tools. At present, the tool center is operated by a clerk who takes an average of 5 minutes to handle each request for tools. Assume that service and arrival times are exponential. What is the average number of machinists waiting in line for the clerk? What is average number of machinists present in the tool center? If the clerk is paid $6 per hour, and each hour that a machinist spends at the tool center costs the company $10 (since each machinist produces $10 worth of goods per hour). Determine the total service cost/hour Suppose that the company is deciding whether or not it is worthwhile to hire (at $4 per hour) a helper for the clerk. If the helper is hired the clerk will take an average of only 4 minutes to process requirements for tools. Should the helper be hired? Justify your decision Assuming that the company hired a second clerk, what is expected length of time a machinist presents in the tool center?

Explanation / Answer

d 0
e 1
f 2
g no, as he can handle all the requests in time. and 10 min of free time also available for clerk to take rest.
h 2.5 mins

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