$2.[4]$ 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$.[1]$ What is the capacity of the process $($in customers per minute$)?$