Question

"Arrivals and departures to Star Optometrist are collected and

reported below:
Patient Arrival Departure
1) 7:45 8:45
2) 8:00 9:00
3) 10:00 10:30
4) 10:15 11:45
5) 10:35 12:00
(a) What is the average flow time Of its patients in minutes?
(b)Assume Star Optometrist is open from 7:45 a.m. to noon. What is the flow rate of
patients in Star Optometrist per hour?
(c)Assume Star Optometrist is open from 7:45 a.m. to noon. How many patients on average
re in Star Optometrist?

Answer 1

The average flow time of the patients in Star Optometrist is 60 minutes. The flow rate of patients per hour is 4.25 patients. On average, there are approximately 3.42 patients in Star Optometrist.

Step-by-step explanation:

To find the average flow time of the patients, we can calculate the time difference between each patient's departure and arrival time, and then find the average of those differences.

(a) Average flow time = (8:45-7:45) + (9:00-8:00) + (10:30-10:00) + (11:45-10:15) + (12:00-10:35) / 5 = 60 minutes.

(b) To find the flow rate per hour, we need to calculate the total time the clinic is open and divide it by the average flow time. Flow rate = (12:00-7:45) / 60 = 4.25 patients per hour.

(c) To find the average number of patients in the clinic, we need to calculate the total time each patient spends in the clinic (flow time) and divide it by the average flow time. Average number of patients = Total flow time / Average flow time = (60 + 60 + 30 + 90 + 25) / 60 = 3.42 patients.