The table below lists stations, servers, cycle times, and station workloads for

an FMS with three processing stations that produces three products. Additional stations

are load$/$unload $($station $4,2$ servers$),$ transport $($station $5,1$ shuttle cart$),$ and station $6$

$($storage$,15$ spaces$).$ Station $4$ loading and unloading times are before and after the

slash. Station $5$ traveling loaded and traveling empty times are before and after the

slash. Parts loaded into the FMS at station $4$ are shuttled to station $6$ before beginning

their respective process routings. When processing is completed, parts are moved back

to storage and then to unload when station $4$ is available. Solve for the overall

production rates, manufacturing lead times, waiting times, and station utilizations, given

the following number of parts in the system: $($a$)$ N $=4$ and $($b$)$ N $=10.$