$1.$ Setup for a stamping operation required a time$-$consuming fixture installation and testing that took $4$ hours each time a different part was to be produced: typically, $12$ hours production was made for inventory of a given stamping before the machine was stopped to permit setup for a new part. After careful process analysis, fixtures and transfer methods were revised to permit setup in $15$ minutes. Discuss the implications for this change on $($a$)$ optimum batch size, $($b$)$ order frequency, and $($c$)$ machine and labor productivity.