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(AAFCU) operates an ATM on the third floor of the building. Over
the course of the 10 hour day, customers arrive at the ATM at the
rate of 80 per hour. Customers spend on average 36 seconds at the
ATM. AAFCU leases the current ATM from the NCR Corporation, and NCR
has a new machine that can serve 50% more customers per hour. AAFCU
is considering replacing the current ATM with the new ATM. The
arrival and service processes are such that this is an M/M/1 queue.
What is the average waiting time in the QUEUE for the CURRENT ATM?
(Round to nearest SECOND, eg 31):
A). What is the NEW ATM average time (in seconds) in the QUEUE?
(Round to nearest SECOND, eg 31)
B). AAFCU is concerned that the NEW machine will not be utilized
enough to make it worthwhile. He is considering a marketing plan to
encourage ATM usage. What NEW ATM HOURLY arrival rate (#/Hr) is
necessary to achieve the utilization rate of the CURRENT ATM?
(Provide whole number arrivals per Hr, eg. 76)
C). AAFCU leases the CURRENT ATM for only $200/day. On the other
hand, NCR charges $2000/day for the NEW ATM. AAFCU estimates the
cost of Customer Time in their SYSTEM at $500/Day. Assume ORIGINAL
arrival rates from PS1.1. What is the Total Cost (per DAY) of the
CURRENT ATM? (Round to the nearest WHOLE dollar)
D). What is the Total Cost (per DAY) of the NEW ATM? (Round to
the nearest WHOLE dollar
E). Based on cost alone, should AAFCU stay with the CURRENT ATM
or replace it with the NEW ATM?
F). Assume the NEW ATM lease is negotiable. At what daily lease
cost of the NEW ATM is Mr. Strebe INDIFFERENT between the two
machines? (Round to the nearest WHOLE Dollar)
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