$3\mathrm{.}2$ In a batch machining operation, setup time is $1\mathrm{.}5hr$ and batch size is time consists of part handling time of $30sec$ and processing time of $1\mathrm{.}37$min. One part is produced each cycle. Tool changes must be performed every $10$ parts and this takes $2\mathrm{.}0$min. Determine $($a$)$ average cycle time, $($b$)$ time to complete the batch, and $($c$)$ average production rate.

$3\mathrm{.}3$ A batch production operation has a machine setup time of $3\mathrm{.}0hr$ and a processing time of