Setup time on a certain production machine is $3\mathrm{.}0$ hours. The batch size is $36$ parts, and the operation cycle time is $2\mathrm{.}5$min. Parts are processed sequentially. The reliability of this machine is characterized by a mean time between failures of $47$ hours and a mean time to repair of $48$min. If availability is ignored, what is the average hourly production rate of the machine $($pieces per hour$)?$