Question: Community Bank is planning to expand its drive in facility

Community Bank is planning to expand its drive- in facility. Observations of the existing single- teller window reveal that customers arrive at an average rate of 10 per hour, with a Poisson distribution, and that they are given FCFS service, with an average transaction time of 5 minutes. Transaction times have a negative expo-nential distribution. Community Bank has decided to add another teller and to install four remote stations with pneumatic tubes running from the stations to the tellers, who are located in a glassed- in building. The cost of keeping a customer waiting in the system is represented as a $ 5- per- hour loss of goodwill. The hourly cost of a teller is $ 10.
a. Assume that each teller is assigned two stations exclusively, that demand is divided equally among the stations, and that no customer jockeying is permit-ted. What is the average number of customers waiting in the entire system?
b. If, instead, both tellers work all the stations and the customer waiting the long-est is served by the next available teller, what is the average number of custom-ers in the system?
c. What hourly savings are achieved by pooling the tellers?

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