please answer all the questions its the hardest one and i do not understand. i will upvote.

Ted Glicktan, the adminiatralse ar D C. General Hosptal emergency room faces the problem of providing treatment for patients who artive at diferent rates during the day. There are 4 doctors aruilable to treat paseets when neceded If not needed, they can be arsigned other responsbities (such as doing lab lests, reports, Xray diagnoses) or else reschedvied to work at other hour. It is iepoctart to provide quick and responsive treatment, and Ted feels that, on the average. palients should not have to sit in the waiting avea for more than 5 minutes befere teing soen by a doctor. Pafients ace treated on a frot-come, fres-served basas and see the frot avalable docior after waiting in the queue. The arival pacem for a fypical dey is as folows: Arrvils folow s Poisson distritution, and treatment times, 12 minutes on the average, folow the negative exponentid panern. a) How many doctors struda be on duty dating esch period to maintain the level of patent care wipected? The least number of doctore required during the 9AM-3 PM shift to meet the sot waiting time goul is The least number ol docton requred during the 3PM8PM, shat to meet the set wating the gow is The least number af doctors required durng the oPMM - Midnigt stin to meet the set wating time goal 2 b) What constion would evat if only one doctor were on duty between 9 AM. and 3 P.M.? A. Since kep, the average wat trne would increase slighty. b. Since ; , the line would back up indefinbely C. Since 2a, the wrotage wat time would increase sigrtly. patients who artive at diflerent rates doring the day. There are 4 doctors avalable to treot patients when needed. If not needed, they can be assigned oener fesponsialitas (such as doing lab sects, reporth, X-ray diagnoses) or else rescheduled to work at other hours. It is important to provide quick and responsive treatment, and Ted feets that, on the average, patients should not have to sit in the waiting area for more than 5 minutes bofore being seen by a doctor. Patients are treated on a first-cerne, first-served basis and see the first avalable doctor athor wating in the queve. The antival pattom for a fypical day is as follows: Artivals folow a Poesson distribution, and treatment tenes, 12 minuses on the average, follow the nogative expenential pathem. a) How mary doctors should be on duty during each period to maintain the level of patent care expected? The least number of doctors required ouring the 9AM3PM shif to meet the set wating time goal is The loast number of doctors required during the 3 PM - 8PM, ahin so meet the set wating tine goal is The leass number of doctors required duning the 8 PM - Midnight shit to meet the set waikng timeigoal ! b) What oondition wouls exist if only one doctor were on duty between 9AM and 3PM ? A. Dinas 2a, the lene would back up indelinitely. C. Sinco g, the average wat tine would incresse stighty. Ted Glickman, the administrator at D.C. General Hospital emergency room faces the problem of providing treatront for patienta who arrive at different rates during the day. There are 4 doctors avalable to treat patients when neoded. If not needed, they can be assigred other respenaibities (such as doing lab tests, mports, X.ray diagnoses) or eise rescheduled to work at other hours. It is important to provide quick and cesportive treatment, and Ted feets that, on the average, patients should not have to st in the waiting area for more than 5 minutes before being seen by a docior. Patients ace treated on a first-come, first-served basis and see the first available doctor after wating in the queve. The artival poltom for a typical dyy is as follons. Arrvals folow a Peisace diatribution, and traatinent times, 12 minutes ca the average, follow the negative exponentid pattem. a) How many doctors ahould be on dufy duning each period to maintain the level of patent care expected? The least number of docions required during the 9A.M,3 P.M, shin to meet the set waiting time goat is The least number of doctors required during the 3.M. - 8. PM, shin to meet the set waiting tinwe goal is The least number of doctons required during the 8 P.M. - Midnight shat to meet the set wailing time goal is b) What conditian woud exist if only one doctor were on duty between 9 A.M. and 3. P.M.? A. Since , the line would back up indefinitely. c. Since , the line would back up indefinitely. C. Since , the average wait time would increase slightly