Consider a bank with four tellers tellers 3 and 4 deal only


Question: Consider a bank with four tellers. Tellers 3 and 4 deal only with business accounts; Tellers 1 and 2 deal only with general accounts. Clients arrive at the bank at a rate of one every 3 ± 1 minutes. Of the clients, 33% are business accounts. Clients randomly choose between the two tellers available for each type of account. (Assume that a customer chooses a line without regard to its length and does not change lines.) Business accounts take 15 ± 10 minutes to complete, and general accounts take 6 ± 5 minutes to complete. Simulate the system for 500 transactions to be completed. What percentage of time is each type of teller busy? What is the average time that each type of customer spends in the bank?

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Mathematics: Consider a bank with four tellers tellers 3 and 4 deal only
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