In a sequential batch machining operation, setup time is $1\mathrm{.}9$ hours and batch size is $239$ units. The cycle time consists of part handling time of $34$ sec$.$ and processing time of $3\mathrm{.}16$min. One part is produced each cycle. Tool changes must be performed every $14$ parts and this takes $2\mathrm{.}3$min. Determine the average production rate $(p\frac{c}{h}r)($answer to $2$ decimal points$).$