In a batch matching operation, setup time is $1\mathrm{.}5$ hr abd batch size is $80$ units. The cycle time consists of part handling time of $30$sec and processi g tine of $1\mathrm{.}37$ min One part is produced each cycle Tool chnahes must be preformed every $10$ parts and this takes $2\mathrm{.}0$ min. Determine the average cycle time