A small electrical appliance is to be produced on a single model assembly line. The work Content of assembling the product has been reduced to the work elements listed in Table. The table also lists the standard times that have been established for each element as well as the precedence order in which they must be performed. The line is to he balanced for an annual demand of $100\mathrm{.}000$uni$\frac{t}{y}r.$ The line will operate $50w\frac{k}{y}r,5$ shifts$/$wk$.$ and $7\mathrm{.}5h\frac{r}{?}$ shift. Manning level will be one worker per station. Previous experience suggests that the up time efficiency for the line will be $96\%,$ and repositioning time lost per cycle will be $0\mathrm{.}08$min. Determine: $($a$)$ total work content time $($b$)$ required hourly production rate $Rp$ to achieve the annual demand, $($c$)$ cycle time $($d$)$ theoretical minimum number of workers required on the line, and $($e$)$ service time to which the line must be balanced.