Ted Glickman, the administrator at D.C. General Hospital emergency room faces the problem of providing treatment for patients who arrive at different rates during the day. There are 4 doctors avalable to treat patients when needed if not needed, they can be issigned other responsibilisies (such as doing lab tests, reports, X-ray diagnoses) or else rescheduled to work at other hours. It is important to provide quick and responsive treatment, and Ted feeis that, on the average, patients shouid not have to sit in the waiting area for more than 6 minutes before being seen by a doctor. Patients are treated on a first-come, first-served basis and soe the first avalable doctor after wanting in the queue. The arrival pattem for a typical day is as foliows: Arrivals follow a Poisson distribution, and treatment times, 12 minutes on the average, follow the negative exponential pattem. a) How many doctors should be on duty during each period to maintain the level of patient care expected? The least number of doctors required during the 9 A M - 3 P.M. shitt to meet the set wating time goal is a) How many doctors should be on duty during each period to maintain the level of patient care expected? The least number of doctors required during the 9 A.M. - 3.P.M. shift to meet the set waiting time goal is The least number of doctors required during the 3 P.M. -8 P.M. shift to meet the set waiting time goal is The least number of doctors required during the 8PM. - Midnight shift to meet the set waiting time goal is b) What condition would exist if only one doctor were on duty between 8 P.M. and midnight? A. Since , the average wait time would increase slightly. C. Since >, the line would back up indefinitely. D. Since , the average wait time would increase slightly. C. Since >, the line would back up indefinitely. D. Since