Inter arrival times and service times are exponential

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A bank is trying to determine which of two machines should be rented to process checks. Machine 1 rent for $10,000 per year and processes 1,000 checks per hour. Machine 2 rents for $15,000 per year and processes 1,600 checks per hour. Assume that the machines work 8 hours a day, 5 days a week, 50 weeks a year. The bank must process an average of 800 checks per hour, and the average check processed is for $100. Assume an annual interest rate of 20%. Then determine the cost to the bank (in lost interest) for each hour that a check spends waiting for and undergoing processing. Assuming that inter arrival times and service times are exponential, which machine should the bank rent?

Reference no: EM13895490

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