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Customers arrive at a two server system at an exponential rate 10 customers per hour. However,...

Customers arrive at a two server system at an exponential rate 10 customers per hour. However, customers will only enter the resturant for food if there are no more than three people (including the two currently being attended to). Suppose that the amount of time required to service is exponential with a mean of five minutes for each server.
(a) Write its transition diagram and balance equations.
(b) What proportion of customers enter the resturant?
(c) What is the average number of customers in the resturant?
(d) What is average amount time that an entering customer spends in the resturant?

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