XAMPLE $3\mathrm{.}3$ Manufacturing Lead Time

A certain part is produced in batch sizes of $100$ units. The batches must be routed through five operations to complete the processing of the parts. Average setup time is $3\mathrm{.}0h\frac{r}{b}$atch, and average operation time is $6\mathrm{.}0mi\frac{n}{p}c.$ Average nonoperation time is $7\mathrm{.}5hr$ for each operation. Determine the manufacturing lead time to complete one batch, assuming the plant runs $8h\frac{r}{?}$ day, $5$ days$/$wk$.$