An outpatient clinic is expected to handle an average of 200 patients in an 8-hour day.It is expected to take on average 17 minutes to treat a patient.Although some of the patients would actually be scheduled, work this problem as if the patient arrivals are all random so that the times between patient arrivals are exponentially distributed.Also assume that the treatment times are exponentially distributed.The cost of a patient waiting is estimated to be $40 per hour and$30 per hour while they are being treated.The cost of a treatment physician is $90 per hour when idle and $125 per hour when treating a patient.What is the optimal number of treatment physicians?