A graphics reproduction i rm has four units of equipment that are automatic but occasionallybecome inoperative because of the need for supplies, maintenance, or repair. Eachunit requires service roughly twice each hour, or, more precisely, each unit of equipmentruns an average of 30 minutes before needing service. Service times vary widely, rangingfrom a simple service (such as pressing a restart switch or repositioning paper) to moreinvolved equipment disassembly. The average service time, however, is i ve minutes.Equipment downtime results in a loss of $20 per hour. The one equipment attendant ispaid $6 per hour.Using i nite queuing analysis, answer the following questions:a. What is the average number of units in line?b. What is the average number of units still in operation?c. What is the average number of units being serviced?d. The i rm is considering adding another attendant at the same $6 rate. Should the i rmdo it?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A graphics reproduction i rm has four units of equipment that are automatic but occasionally
become inoperative because of the need for supplies, maintenance, or repair. Each
unit requires service roughly twice each hour, or, more precisely, each unit of equipment
runs an average of 30 minutes before needing service. Service times vary widely, ranging
from a simple service (such as pressing a restart switch or repositioning paper) to more
involved equipment disassembly. The average service time, however, is i ve minutes.
Equipment downtime results in a loss of $20 per hour. The one equipment attendant is
paid $6 per hour.
Using i nite queuing analysis, answer the following questions:
a. What is the average number of units in line?
b. What is the average number of units still in operation?
c. What is the average number of units being serviced?
d. The i rm is considering adding another attendant at the same $6 rate. Should the i rm
do it?
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