PA $3-10($Algo$)$ An automated car wash serves customers...

An automated car wash serves customers with the following serial process: pretreat, wash, rinse, wax, hand dry. Each of these steps is performed by a dedicated machine except for the hand$-$dry step, which is performed manually on each car by one of three workers. The steps of the process have the following processing times:

Pretreat: $2$ minute per car

Wash: $4$ minutes per car

Rinse: $3$ minutes per car

Wax: $3$ minutes per car

Hand dry: $8$ minutes per car

a$.$ If the car wash has a demand of $20$ cars per hour, what is the flow rate of the process?

Note: Round your answer to $2$ decimal places.

Flow rate

customers per hour

b$.$ If the car wash has a demand of $20$ cars per hour, what is the utilization of the machine that performs the Wax process?

Note: Round your answer to $2$ decimal places.