MGT 455 WEEK 8 QUESTION D 9
Neve Commercial Bank is the only bank in the town
of York, Pennsylvania. On a typical Friday, an average of 10 customers
per hour arrive at the bank to transact business. There is
currently one teller at the bank, and the average time required to
transact business is 4 minutes. It is assumed that service times may
be described by the exponential distribution. If a single teller is
used, find:
a) The average time in the line.
b) The average number in the line.
c) The average time in the system.
d) The average number in the system.
e) The probability that the bank is empty.
f) CEO Benjamin Neve is considering adding a second teller
(who would work at the same rate as the first) to reduce the
waiting time for customers. A single line would be used, and
the customer at the front of the line would go to the first available
bank teller. He assumes that this will cut the waiting time
in half. If a second teller is added, find the new answers to
parts (a) to (e).
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