Analyze a doctor$$s office

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$$s office promptly at $1$:$00$ P$.$M$.$ The waiting room had five other people in it$.$ Patients were admitted from the waiting room in FIFO $($first$-$in$,$ first$-$out$)$ order at a rate of $5$ minutes per patient. After waiting until his turn, a nurse finally invited Simmons to an examining room. Once in the examining room, Simmons waited another $5$ minutes before a nurse arrived to take some basic readings $($temperature$,$ blood pressure$).$ The nurse needed $10$ minutes to collect this clinical information. After the nurse left, Simmons waited $30$ additional minutes before the doctor arrived. The doctor diagnosed the flu and provided a prescription for antibiotics, which took $5$ minutes. Before leaving the doctor$$s office, Simmons waited $10$ minutes at the business office to pay for the office 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?

$2$:$30$ P$.$M$.$

b$.$ How much of the total elapsed time from $1$:$00$ P$.$M$.$ until when Simmons arrived home was non$-$value$-$added time?

Total elapsed time fill in the blank $2$

minutes

Non$-$value$-$added time fill in the blank $3$

minutes

c$.$ What is the value$-$added ratio? Round your percent to one decimal place.

fill in the blank $4$

$\%$

d$.$ Which of the following statement is correct?