A Printed Circuit Board $($PCB$)$ machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a $24-$minute setup. Once in production, the PCB machine requires only $0\mathrm{.}16$ minutes per board.

a$.$ Currently, the PCB machine produces $550$ boards between setups. Given this operating process, what is the capacity of the PCB machine $($in boards per minute$)?$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Capacity

boards per minute

b$.$ Currently, the PCB machine produces $550$ boards between setups. Given this operating process, what is the utilization of the PCB machine?

Note: Do not round intermediate calculations. Round your percentage answer to $2$ decimal places.

Utilization

percent

c$.$ Demand for boards occurs at the rate of $1$ boards per minute. What is the smallest batch size such that the PCB machine does not constrain the flow rate through the process?

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

Batch size

boards