A small bank is trying to determine how many tellers to employ. The total cost of employing a teller is $10 per hour, and a teller can serve an average of 50 customers per day. An average of 40 customers per day arrive at the bank, and both service times and interarrival times are exponential. If the delay cost per customer- hour is $10 and bank is working 8 hours per day, how many tellers should the bank hire?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 30P
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A small bank is trying to determine how many tellers to employ. The total cost of employing a teller is $10 per hour, and a teller can serve an average of 50 customers per day. An average of 40 customers per day arrive at the bank, and both service times and interarrival times are exponential. If the delay cost per customer- hour is $10 and bank is working 8 hours per day, how many tellers should the bank hire? 

2 -
A small bank is trying to determine how many tellers to employ. The total
cost of employing a teller is $10 per hour, and a teller can serve an
average of 50 customers per day. An average of 40 customers per day
arrive at the bank, and both service times and interarrival times are
exponential. If the delay cost per customer-hour is $10 and bank is
working 8 hours per day, how many tellers should the bank hire?
a)
b)
4
c)
1
d)
3
Transcribed Image Text:2 - A small bank is trying to determine how many tellers to employ. The total cost of employing a teller is $10 per hour, and a teller can serve an average of 50 customers per day. An average of 40 customers per day arrive at the bank, and both service times and interarrival times are exponential. If the delay cost per customer-hour is $10 and bank is working 8 hours per day, how many tellers should the bank hire? a) b) 4 c) 1 d) 3
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