$(10$ points$)$ Given a bus route with $6$ stops and all buses on the route having $50$ seats and

the same total capacity of $80$ passengers. The following table provides average

passenger$-$load counts in each of the $5h$ between $06$:$00$ and $11$:$00,$ the number of buses

observed, desired occupancy $($passengers$),$ and minimum frequency $($bus$/$h$)$:

Please calculate the frequency and headway for each hour with each of the four methods,

Method $4$ being associated with a maximum of $20\%$ of the route length having an excess

load.