$16\mathrm{.}17($A$)$ A part is to be produced on an automated production line. Total work content time to make the part is $36$min, and this work will be divided evenly among the workstations, so that the processing time at each station is $\frac{36}{n},$ where number of stations. In addition, the time required to transfer parts between workstations is $6sec.$ Thus, the $.$ In addition, it is anticipated that the station breakdown frequency will be $0\mathrm{.}005,$ and that the average downtime per breakdown will be $8\mathrm{.}0$min. $($a$)$ How many workstations should be included in the line to maximize production rate? Also, what are $($b$)$ the hourly production rate and $($c$)$ line efficiency for this number of stations?