Dr$.$ Cynthia Knott$$s dentistry practice has been cleaning customers$$ teeth for decades. The

process for a basic dental cleaning is relatively straightforward:

$(1)$ the customer checks in $(2$ minutes$)$;

$(2)$ a lab technician takes and develops X$-$rays $(2$ and $4$ minutes, respectively$)$;

$(3)$ the dentist processes and examines the X$-$rays $(5$ minutes$)$ while the hygienist cleans the

teeth $(24$ minutes$)$;

$(4)$ the dentist meets with the patient to poke at a few teeth, explain the X$-$ray results, and tell

the patient to floss more often $(8$ minutes$)$; and

$(5)$ the customer pays and books her next appointment $(6$ minutes$).$ A flowchart of the

customer visit is

shown below. Dr$.$ Knott wants to determine the bottleneck time and throughput time of this

process.