total long-run average waiting cost per hour

Project Description:

question: consider a walk-in barber shop in downtown raleigh. currently there are three barbers serving customers and customers are happy to have their hair cut by the first barber available. on average, service takes 20 minutes per customer and a customer arrives every 10 minutes. we can assume that customers arrive according to a poisson process and service times are exponentially distributed.
marketing studies reveal that customers visiting this shop value their time at $30 per hour. please calculate the total long-run average waiting cost per hour incurred at this shop.

please provide all formulas and what each number coincides with and the answer. thank you.
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