The Average Waiting Time in a Line Before Getting Served

question 97

Essay

The average waiting time in a line before getting served is given by
W = S(S A-A)
where A is the average rate that people arrive at the line and S is the average service time. At a certain bank, the average service time is 4 minutes. By sketching a graph of the equation on the interval (0, 4], answer the following questions.
What happens to W when A is close to zero? Why does this make sense? What feature of your graph gives this information?

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