$250$ units. Setup requires $50$ min. A worker loads and unloads the machine each cycle, which takes $0\mathrm{.}40$ min. Machine processing time is $2\mathrm{.}50$ min$/$cycle$,$ and tool handling time is negligible. One part is produced each cycle. Determine $($a$)$ average cycle time, $($b$)$ time to complete the batch, and $($c$)$ average production