A $10-$station assembly machine has an ideal cycle time of $4$ sec$.$ The fraction defect rate at each station is $0\mathrm{.}005$ and a defect always jams the affected station. When a breakdown occurs, it takes $1\mathrm{.}5$min$,$ on average, for the system to be put back into operation. Determine $($a$)$ the hourly production rate for the assembly machine, $($asby$/$hr$),($One digit after the decimal point$)($b$)$ yield of good product $($final assemblies containing no defective components$),($c$)$ proportion uptime of the system $(\%).($One digit after the decimal point$)$