Consider the sequential processing batch. The processing time of one part is $1$ hour and $2=0\mathrm{.}5.$ Arrival rate $=0\mathrm{.}5$ parts$/$hour and $2=1.$ The setup time is $6$ hours. $($a$)$ Find the cycle time for the non$-$split batch with a size of $10$ parts. $($b$)$ Calculate the cycle time if batches can be split.