The Comelec Corporation is considering leasing one of the two possible self-service duplicating machines. The Mark I is capable of duplicating, on the average, 20 jobs each hour, at a cost of $50 per day. Alternatively, the Mark II can duplicate, on the average 24 jobs per hour, at a cost of $80 per day. We will assume that the service rate for the duplicating jobs is random. In essence this implies that the number of copies is random. However, if exactly one (or n) copies were needed per job, then the service time would be constant. The duplicating center is open 10 Hours a day with an average arrival of 18 jobs per hour. The duplication is performed by employees arriving from various departments whose average hourly wage is $5. Should the company leave Mark I or Mark II? Show solution.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Comelec Corporation is considering
leasing one of the two possible self-service
duplicating machines. The Mark I is capable
of duplicating, on the average, 20 jobs each
hour, at a cost of $50 per day. Alternatively,
the Mark II can duplicate, on the average 24
jobs per hour, at a cost of $80 per day. We
will assume that the service rate for the
duplicating jobs is random. In essence this
implies that the number of copies is random.
However, if exactly one (or n) copies were
needed per job, then the service time would
be constant. The duplicating center is open
10 Hours a day with an average arrival of 18
jobs per hour. The duplication is performed by
employees arriving from various departments,
whose average hourly wage is $5. Should the
company leave Mark I or Mark II? Show
solution.
Transcribed Image Text:Problem for Queuing The Comelec Corporation is considering leasing one of the two possible self-service duplicating machines. The Mark I is capable of duplicating, on the average, 20 jobs each hour, at a cost of $50 per day. Alternatively, the Mark II can duplicate, on the average 24 jobs per hour, at a cost of $80 per day. We will assume that the service rate for the duplicating jobs is random. In essence this implies that the number of copies is random. However, if exactly one (or n) copies were needed per job, then the service time would be constant. The duplicating center is open 10 Hours a day with an average arrival of 18 jobs per hour. The duplication is performed by employees arriving from various departments, whose average hourly wage is $5. Should the company leave Mark I or Mark II? Show solution.
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