Question

The National State Bank is trying to make sure that they have enough tellers to handle the Friday afternoon rush of workers wanting to cash their paychecks. They are 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 table below.

TIME			CUSTOMERS ARRIVING
4:00	–	4:05	4
4:05	–	4:10	6
4:10	–	4:15	3
4:15	–	4:20	5
4:20	–	4:25	10
4:25	–	4:30	13
4:30	–	4:35	20
4:35	–	4:40	11
4:40	–	4:45	11
4:45	–	4:50	3
4:50	–	4:55	3
4:55	–	5:00	2
5:00	–	5:05	0
Total			91

The bank currently has 8 teller stations, and all are staffed during the Friday afternoon rush hour.

a.	What is the current maximum output at the bank during rush hour?

Current maximum output

customers per hour

b.	Can the bank process all the customers by 5:00 P.M.?

(Click to select)YesNo, the bank (Click to select)cancannot 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? (Round your answer to 2 decimal places.)

The maximum waiting time is  minutes and it occurs from (Click to select)4:50-4:554:30-4:354:40-4:454:35-4:404:45-4:50.

Answer 1

TIME			CUSTOMERS	Cumm available to service
			ARRIVING		Service (Cap 8)	Wait	Wait time
04:00	–	04:05	4	4	4	0
04:05	–	04:10	6	6	6	0
04:10	–	04:15	3	3	3	0
04:15	–	04:20	5	5	5	0
04:20	–	04:25	10	10	8	2	5
04:25	–	04:30	13	15	8	7	5
04:30	–	04:35	20	27	8	19	5
04:35	–	04:40	11	30	8	22	5
04:40	–	04:45	11	33	8	25	5
04:45	–	04:50	3	28	8	20	5
04:50	–	04:55	3	23	8	15	5
04:55	–	05:00	2	17	8	9	5
05:00	–	05:05	0	9	8	1	5
Total			91
			a.	What is the current maximum output at the bank during rush hour?
				Current maximum output	82	customers per hour		(As per current arrival
				(8*60/5)	96	Theoretical
			b.	Can the bank process all the customers by 5:00 P.M.?
				No	As 9 waiting at 5
			c.	What is the maximum waiting time for customers, and what time period does it occur in? (Round your answer to 2 decimal places.)
				5+5+5+5+5	25.00	mins	4:40-4:45