The starting work part costs $$2\mathrm{.}00$ in a batch production operation. Batch quantity $=100$ parts. Each cycle, part handling time $=0\mathrm{.}40$min, and operation time $=1\mathrm{.}52$min. Setup time $=50$min. Equipment cost rate $=$$$\frac{30\mathrm{.}00}{h}r,$ and labor cost rate $=$$$\frac{18\mathrm{.}00}{h}r,$ including overhead costs. There is no tool change or tool cost in the operation. The machine tool is $100\%$ reliable, and scrap rate $=2\%.$ Determine $($a$)$ production rate, $($b$)$ finished part cost, and $($c$)$ number of hours required to complete the batch. $(20$pt$)$zen