operations management O Points: $0$ of $45$ Save 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 available to treat patients when needed if not needed, they can be assigned the responsibilities $($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 feels that, on the average patients should not have to sit in the waiting area for more than $4$ minutes before being seen by a doctor Patients are treated on a first come first served basis and see the first available doctor after waiting in the queue. The arrival pattern for a typical day is as follows Time Arrival Rate $9$ AM $-3$ PM $7$ patients$/$hour $3$ PM $-8$PM $4$ patients$/$hour $8$PM $-$ midnight $13$ patients$/$hour Arrivals follow a Poisson distribution, and treatment times, $12$ minutes on the average, follow the negative exponential patter. 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 $9$AM $-3$PM shih to meet the sot waiting time goal is