The manager of a large group of employees must decideif she needs another photocopying machine. The cost of amachine is $40 per 8-hour day whether or not the machineis in use. An average of 4 people per hour need to use thecopying machine. Each person uses the copier for an averageof 10 minutes. Interarrival times and copying times areexponentially distributed. Employees are paid $8 per hour,and we assume that a waiting cost is incurred when a workeris waiting in line or is using the copying machine. Howmany copying machines should be rented?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The manager of a large group of employees must decide
if she needs another photocopying machine. The cost of a
machine is $40 per 8-hour day whether or not the machine
is in use. An average of 4 people per hour need to use the
copying machine. Each person uses the copier for an average
of 10 minutes. Interarrival times and copying times are
exponentially distributed. Employees are paid $8 per hour,
and we assume that a waiting cost is incurred when a worker
is waiting in line or is using the copying machine. How
many copying machines should be rented?

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