Bill Youngdahl has been collecting data at the TU student grill. He has found? that, between? 5:00 P.M. and? 7:00 P.M., students arrive at the grill at a rate of 27 per hour? (Poisson distributed) and service time takes an average of 2.0 minutes? (negative exponential? distribution). There is only 1? server, who can work on only 1 order at a time.
?a) The average number in the line? = 8.1 customers ?(round your response to two decimal? places).
?b) The average time in the system? = 20 minutes ?(round your response to one decimal? place).
?c) Suppose that a second server can be added to team up with the first? (and, in? effect, act as one faster? server). This would reduce the average service time to 90 seconds.
The average time in the system? = 4.62 minutes ?(round your response to two decimal? places).
?d) Suppose a second server is added and the 2 servers act? independently, with each taking an average of 2.0 minutes.
If a second server is? added, the average time a customer spends in the system? = minutes ?(round your response to two decimal? places)