Customers arrive at a single server facility at poisson rate of 40 per hour. when two or fewer customers are present a single attendant operates facility ,and the service time for each customer is exponentially distributed with mean value of 2 minutes. however, when there are three or more customers at the facility, the attendant is joined assistant and working together, they reduce the mean service time to 1 minute. assuming a system capacity of 4 customers.
a) What proportion of time are both servers free?
b) Each man is to receive a sarlary proportional to the amount of time he is actually at work servicing customers,the rate being the same for both. if together they earn $100 per day how should this money slipt?