the sethp time in a sequential batch production operation is $2\mathrm{.}0$ hours, the actual processing time of $1\mathrm{.}60$ min per cycle. three parts are produced each chcle. no tool handling time is included in the cycle part handling tome each cycle is $45$ sec$.$ it consists of the worker obtaininb two syarting work units from a parts tray, loading then into a machine and then after the proccesing u loading the conpleters parra and placong them into the same tray each tray hold $24$ parts. when all of the starting work units have been replaced with completed parts, the trag of comletes parts is moved aside and a new tray of starting units is moved into position at the machine the irriglar work elemts take $4\mathrm{.}0$ monitea batch quanitt is $2400$ unita what is the avegae cycle time