Note: To receive partial$/$full credit all calculations must be explained and shown.

Taryn$$s Hair Salon has three stylists and an intern who provide services to its clients. The customer first gets their hair washed at a single station, which takes an average of $5$ minutes and is performed by the intern. Then the customer$$s hair is dried and styled, by one of the three stylists, taking an average of $25$ minutes per customer. Lastly, the payment takes $3$ minutes and is performed by a receptionist. Assume that no work$-$in$-$process $($WIP$)$ is permitted beyond that actually being worked on at each process step $($i$.$e$.,$ there are no buffers between process steps$).$

What is the capacity of the process, and what is the bottleneck?

What is the average theoretical flow time $($i$.$e$.,$ without including waiting for service$)?$

If the average demand is $10$ units$/$hour$,$ what is throughput rate?