Automated Production Lines $($No Internal Storage$)$

An eight$-$station rotary indexing machine performs the machining operations shown in the table below, with processing times and breakdown frequencies for each station. Transfer time is $0\mathrm{.}15$ min. A study of the system was undertaken, during which time $4,000$ parts were completed. The study also revealed that when breakdowns occur, the average downtime is $7\mathrm{.}5$ min. For the study period, determine how many hours were required to produce