Consider an M/M/1 queue. Assume that the arrival and service time rates are both increased by a factor of k. What effect does this have on (a) the long-term expected number of customers in the system?...

Consider an M/M/1 queue. Assume that the arrival and service time rates are both increased by a factor of k. What effect does this have on

(a) the long-term expected number of customers in the system?

(b) the long-term expected time that a customer is in the system?