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Problem 4.3 (10 points) During lunch hour, customers arrive at a fastfood restaurant according to a Poisson process at the rate of 120 customers per hour. The restaurant has one line, with three workers taking food orders at independent service stations. Each worker takes an exponentially distributed amount of time 7 on average 1 minute 7 to service a customer. Let Xt denote the number of customers in the restaurant in line (including those being helped) at time t (measured in minutes). Then, the process (Xt)t;0 is a continuoustime Markov chain. Provide the transition rate graph and exhibit the generator matrix