Q$2(30$ points$)$: Consider a dental clinic with one receptionist, one hygienist, one dentist, and one

assistant. When a patient arrives at the clinic, she$/$he is first checked in by the receptionist. Then,

she$/$he is seen by the hygienist and the assistant. After that, she$/$he is seen by the dentist and the

assistant. Finally, she$/$he is checked out by the receptionist. The below figure shows the process

flow diagram and the table summarizes the tasks, resources, and task time.

Task Resource$($s$)$

Task time

$($minutes$/$patient$)$

Check$-$in Receptionist $5$min

Cleaning Hygienist, Assistant $20$min

Treatment Dentist, Assistant $10$min

Check$-$out Receptionist $5$min

$($a$)$ For each resource, calculate the activity time and capacity by filling the below table.

Please show how you get these numbers. Note that the unit of activity time is

minutes$/$patient$,$ and the unit of capacity is patients$/$hour$.(8$ points$)$

Resource Activity time

$($minutes$/$patient$)$

Capacity

$($patients$/$hour$)$

Receptionist

Hygienist

Dentist

Assistant

$($b$)$ What is the process capacity? $(3$ points$)$

$($c$)$ What is the cycle time? $(3$ points$)$

$($d$)$ What is the flow time for a patient? $(4$ points$)$

$($e$)$ If the demand rate is $1$ patient$/$hour$,$ what$$s the throughput rate? If the demand rate is $3$

patients$/$hour$,$ what$$s the throughput rate? $(4$ points$)$

$($f$)$ If the demand rate is $3$ patients$/$hour$,$ what are the actual utilization and implied utilization?

Please fill the below table $($express in percentage$).(8$ points$)$

Resource Actual Utilization Implied Utilizatio