Question # $3$:

In a batch machining operation, setup time is $1\mathrm{.}5hr$ and batch size is $80$ units. The cycle 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