Braden works alone at a very popular dog salon called Pup-Style which always has customers waiting for service. Each customer requests Braden's signature wash, dry, and style package for their pet. It takes Braden exactly 10 minutes to wash and dry the pet and exactly 12 minutes to style. For all parts of this question, define the process for a single customer to begin once the customer hands over the pet for a wash and ends once the style is complete. Assume the process is operating at capacity.

a) What is the capacity of the process (in customers per minute)?

b) Suppose Braden gets tired of working alone and hires another pet stylist, Helmut, to help. Since Braden doesn't yet have confidence in Helmut's styling abilities, he is hired to handle washing and drying. Helmut can wash and dry the pet in 12 minutes. Hand-off times are negligible. What is the capacity of the process now (customers/minute)?

c) Within a short period, Helmut becomes very efficient and can now wash and dry a pet in 8 minutes (faster than Braden). Braden still takes 12 minutes to style a pet. What is the capacity of the process now (customers/minute)?

d) d. After a trial period, Braden is happy with Helmut's performance and decides both of them should take their own customers (that is, each will alone handle washing, drying and styling for their respective customers). Customers express no preference between the two stylists and simply choose the next one available. Assume it takes Helmut exactly 20 minutes to wash, dry and style a pet. What is the capacity of the process now?

e) Assuming Braden and Helmut are working at their full capacity, what is the average cycle time of a customer through the process (in minutes)?