# There are currently three cashiers with dedicated lines (single chan

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There are currently three cashiers with dedicated lines
(single channel system). The customer arrival rate for a
line is 10/hr and the service rate is 12/hr. A newly hired
manager decides to merge all the times to create a
multichannel system.
(i) What is the arrival rate and the service rate for the
reorganized system?
(ii) What is the probability that an arriving customer will be
checked out without waiting in line at all?
Solution
30/hr and 36/hr
60-(36*29/60) ) / 60 = 0.71

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There are currently three cashiers with dedicated lines (single channel system). The customer arrival rate for a line is 10/hr and the service rate is 12/hr. A newly hired manager decides to merge all the times to create a multichannel system. (i) What is the arrival rate and the service rate for th ...
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