can someone help to solve this question step by step pls.
A. Consider an urgent care center with 4 doctors where the average arrival rate for each doctor is 24 patients per hour and the average service time of each patient is 2 minutes. Both inter-arrival times and service times have a coefficient of variation equal to one. Initially, each doctor serves his or her own patients. How many minutes does a patient spend on average in the urgent care center (including the time waiting in line as well as the actual service)?
B. Consider an urgent care center with 4 doctors where the average arrival rate for each doctor is 24 patients per hour and the average service time of each patient is 2 minutes. Both inter-arrival times and service times have a coefficient of variation equal to one. Initially, each doctor serves his or her own patients. Noting that there are 4 separate but identical queues in total, what is the average number of patients in the urgent care center (including those waiting in line to see a doctor as well as those who are seeing a doctor)?
C. Consider the same urgent care center with 4 doctors where the average arrival rate for each doctor is 24 patients per hour and the average service time of each patient is 2 minutes. Both inter-arrival times and service times have a coefficient of variation equal to one. But now,
the doctors are pooled so that a doctor can serve any patient. After pooling, how many minutes does a patient spend on average in the urgent care center (including the time waiting in line as well as the actual service)? Round your answer to two decimal points.
D. Consider the same urgent care center with 4 doctors where the average arrival rate for each doctor is 24 patients per hour and the average service time of each patient is 2 minutes. Both inter-arrival times and service times have a coefficient of variation equal to one. But now,
the doctors are pooled so that a doctor can serve any patient. After pooling, what is the average number of patients in the clinic (including those waiting in line to see a doctor as well as those who are seeing a doctor)? Recall there is only one common queue after pooling and round your answer to two decimal points.