Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-.
The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table.
| Room No. | Monday & Tuesday | Wednesday & Thursday | Friday & Saturday |
|---|---|---|---|
| Ben | Wayne | Kane | |
| Kane | Ben | Wayne | |
| Wayne | Kane | Ben |
The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday.
On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.
The queue is never empty on one particular Saturday. Which of the three doctors would earn the maximum amount in consultation charges on that day?
Correct Answer :
Dr. Kane
Solution :
Based on the scheduling rules and patient consultation patterns for the doctors on Saturdays, we can determine the number of patients each doctor treats when the queue is never empty.
Assuming the standard clinic timings and patient distribution, Dr. Wayne and/or Dr. Kane consistently consult for durations or at rates that maximize their total earnings under a continuous queue. Analyzing the specific consultation charges and rate of patients per hour reveals the doctor(s) with the maximum earnings.
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