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A large grocery store has 10 cashiers. There is a separate queue dedicated to each cashier, with an arrival rate of 10 customers per hour.

A large grocery store has 10 cashiers. There is a separate queue dedicated to each cashier, with an arrival rate of 10 customers per hour. Assume the cashiers have an average service time of 5 minutes per customer. Both interarrival times and service times are exponentially distributed. What is the utilization of each cashier?

Now suppose we combine the 10 queues from above question one queue. What is the arrival rate of the combined queue?

Referring to Question above, what is the reduction in waiting time per customer (in minutes) when the 10 queues are combined into one queue?

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