Problem $8-12($Algo$)$

A firm uses a serial assembly system and needs answers to the following:

a$.$ An output of $800$ units per shift $(8\mathrm{.}00$ hours$)$ is desired for a new processing system. The system requires product to pass through four stations where the work content at each station is $36$ seconds. What is the required cycle time for such a system? $($Round your answer to the nearest whole number.$)$

b$.$ How efficient is your system with the cycle time you calculated? $($Round your answer to $1$ decimal place.$)$