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Marcus Simmons caught the flu and needed to see the doctor. Simmons called to set up an appointment and was told to come in at 1:00 p.m. Simmons arrived at the doctor's office promptly at 1:00 p.m. The waiting room had five other people in it. Patients were admitted from the waiting room in FIFO (first-in, first-out) order at a rate of 5 minutes per patient. After waiting until his turn, a nurse finally invited Simmons to an examining room. Once in there, Simmons waited another 5 minutes before a nurse arrived to take some basic readings (temperature, blood pressure). The nurse needed 10 minutes to collect this clinical information. After the nurse left, Simmons waited 30 additional minutes before the doctor arrived. The doctor diagnosed the flu and provided a prescription for antibiotics, which took 5 minutes. Before leaving the doctor's office, Simmons waited 10 minutes at the business office to pay for the visit. Simmons spent 5 minutes walking next door to fill the prescription at the pharmacy. There were four people in front of Simmons, each person requiring 5 minutes to fill and purchase a prescription. Simmons arrived home 15 minutes after paying for his prescription.
A. What time does Simmons arrive home?
B. How much of the total elapsed time from 1:00 p.m. until when Simmons arrived home was non-value-added time?
C. What is the value-added ratio? (Round percentage to one decimal place.)
SOLUTION
(A) Simmons arrival time = 1:00 pm
Waiting time in the waiting room = 5*5 = 25 min
Waiting time in the examination room = 5 min
Processing time by nurse to take his clinical information = 10 min
Waiting time before the doctor arrives = 30 min
Doctor diagnosis time = 5 min
Waiting time for payment = 10 min
Walking time to the pharmacy = 5 min
Waiting time at pharmacy to fill the prescription = 4*5 = 20 min
Time taken to fill the prescription = 5 min
Travel time to reach home = 15 min
Total process time = 25+5+10+30+5+10+5+20+5+15 = 130 min or 2 hours 10 min
Simmons arrival time at home = 1:00 pm + 2 hours 10 min = 3:10 pm
(B) Total elapsed time = 130 min
Non-value added time = waiting time + walking time + travel time = 25+5+30+10+5+20+15 = 110 min
(C) Value-added ratio = Value added time / Total time = (130-110) /130 = 15.4 %
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