A ten$-$station assembly machine has an ideal cycle time of $4$ sec$.$ The feaction defect rate at each station is $\mathrm{.}005$ and a defect always jams the affected station. When a Reakdown occurs it takes $1\mathrm{.}5$ min, on average, for the system to be put back into operation. Determine $($a$)$ the hourlyproduction rate fir the assembly machine, $($b$)$ yield of good product $($final assemblies containing no defective componenet$),$ and $($c$)$ proportion uptime of the system.