What is minimum number of tellers that should be hired

The manager of a bank must determine how many tellers should work on Fridays. For every minute a customer stands in line, the manger believes that a delay cost of 20 cents is incurred. Anaverageof2customersperminutearriveatthebank. Onaverage,ittakesateller1minute to complete a customer’s transaction. It costs the bank $10 per hour to hire a teller. Interarrival times and service times are exponential.a) To minimize the total expected hourly cost, how many tellers should be hired?b) Ifthemanager’sgoalistoensurethatatmost5%ofallcustomerswillspendmorethan5minutesin line, what is minimum number of tellers that should be hired?

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