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Consider an airport where taxis and passengers arrive (exponential interarrival times and exponential service times) with respective rates of one and two per minute. No matter how many other taxis are present, a taxi will wait. If an arriving passenger does not find a taxi, the passenger immediately leaves.
a) Model this system as an M/M/1 queue - identify the server and customer (in the queuing sense), l and m).
b) Find the average number of taxis that are waiting for a passenger.
c) Suppose all passengers who use a taxi pay a $22 fare. During a typical hour, how much revenue will the taxis receive?
