$9.(23$ points$)$ Trojan Dental is a small dental office serving the community near USC.

Trojan Dental has one receptionist, two hygienists, and two dentists. All patients see the

receptionist, one of the hygienists, and one of the dentists before departing the office.

$$ Receptionist: When a patient arrives, the receptionist greets them and collects in$-$

surance details which takes exactly $4$ minutes, and then directs the patient to the

next available dental hygienist.

$$ Hygienists: The hygienists clean patient$$s teeth. $60\%$ of the patients brush fre$-$

quently $($have good dental hygiene$)$ and it takes a hygienist exactly $10$ minutes to

clean their teeth. The rest have poor dental hygiene and take exactly $16$ minutes

with a hygienist.

$$ Dentists: The two dentists, Dr$.$ Travis and Dr$.$ Taylor, are identically skilled and

each spends $26$ minutes on average with their patient.

Due to appointments, exactly $33$ patients arrive at the dental office each day. The office

is open $10$ hours per day.

a$)(3$ points$)$ What is the capacity of the team of hygienists per hour?

b$)(3$ points$)$ What is the capacity of each dentist? What is the capacity of the two

dentists together?

c$)(3$ points$)$ What is the capacity Trojan Dental? Explain.

d$)(3$ points$)$ What is the Flow Rate of Trojan Dental?