The Bank is trying to make sure it has enough tellers to handle the Friday afternoon rush of workers wanting to cash their paychecks. It is only concerned with the last hour of the day from 4:00 to 5:00 P.M. It takes 5 minutes per customer to be processed by the tellers. The average customer-arrivals are shown in the following table.

a) What is the current maximum capacity/hour at the bank when all the teller counters are staffed?

b) Can the bank process all the customers by 5:00 p.m.?

c) What is the maximum waiting time for customers, and what time-period does it occur in? [Hint: Waiting time is customers waiting * .625 minutes. A customer should complete service every .625 minutes (5 minutes service/8 tellers). You can fill up the following table to answer the question. This table will also help you answer the question in part B.]

\begin{tabular}{|c|r|} \hline Time & Number of Customers Arriving \\ \hline 4:004:05 & 3 \\ \hline 4:054:10 & 6 \\ \hline 4:104:15 & 6 \\ \hline 4:154:20 & 8 \\ \hline 4:204:25 & 12 \\ \hline 4:254:30 & 14 \\ \hline 4:304:35 & 18 \\ \hline 4:354:40 & 10 \\ \hline 4:404:45 & 8 \\ \hline 4:454:50 & 4 \\ \hline 4:504:55 & 2 \\ \hline 4:555:00 & 2 \\ \hline 5:005:05 & 0 \\ \hline \end{tabular} \begin{tabular}{|c|r|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Time } & & & & & Expected waiting time (number of customers waiting at the end of the period*0.625 mins per customer) \\ \hline Customers Arriving & Customers Departing during period & Customers at Teller or Waiting & Customers Waiting at end of period \\ \hline 4:054:10 & 3 & & & & \\ \hline 4:104:15 & 6 & & & \\ \hline 4:154:20 & 6 & & & \\ \hline 4:204:25 & 8 & & & \\ \hline 4:254:30 & 12 & & & \\ \hline 4:304:35 & 14 & & & \\ \hline 4:354:40 & 18 & & & \\ \hline 4:404:45 & 8 & & & \\ \hline 4:454:50 & 8 & & & \\ \hline 4:504:55 & 2 & & & \\ \hline 4:555:00 & 2 & & & \\ \hline 5:005:05 & 2 & & & \\ \hline \end{tabular}