Machinists who work at a tool-and-die plant must check out tools from a tool ht machinists per hour arrive seeking tools. At present, the tool center is staffed $9 per hour and who takes an average of 5 minutes to handle each request for nist produces $15 worth of goods per hour, each hour that a machinist spends he company $15. The company is deciding whether or not it is worthwhile to elper for the clerk. If the helper is hired, the clerk will take an average of only quests for tools. Assume that service and inter-arrival times are exponential. ed? (I know you are good people and want to hire the helper anyways, but here

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Machinists who work at a tool-and-die plant must check out tools from a tool
center. An average of eight machinists per hour arrive seeking tools. At present, the tool center is staffed
by a clerk who is paid $9 per hour and who takes an average of 5 minutes to handle each request for
tools. Since each machinist produces $15 worth of goods per hour, each hour that a machinist spends
at the tool center costs the company $15. The company is deciding whether or not it is worthwhile to
hire (at $6 per hour) a helper for the clerk. If the helper is hired, the clerk will take an average of only
4 minutes to process requests for tools. Assume that service and inter-arrival times are exponential.
Should the helper be hired? (I know you are good people and want to hire the helper anyways, but here
we look at costs only.)
Transcribed Image Text:Machinists who work at a tool-and-die plant must check out tools from a tool center. An average of eight machinists per hour arrive seeking tools. At present, the tool center is staffed by a clerk who is paid $9 per hour and who takes an average of 5 minutes to handle each request for tools. Since each machinist produces $15 worth of goods per hour, each hour that a machinist spends at the tool center costs the company $15. The company is deciding whether or not it is worthwhile to hire (at $6 per hour) a helper for the clerk. If the helper is hired, the clerk will take an average of only 4 minutes to process requests for tools. Assume that service and inter-arrival times are exponential. Should the helper be hired? (I know you are good people and want to hire the helper anyways, but here we look at costs only.)
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