$9\mathrm{.}42$ Given the following inflow hydrograph:

$\backslash$table$[[$Hour$,$Inflow $($cfs$),$Outflow $($cfs$)],[6$ a$.$m$.,100,100],[$Noon$,300,],[6$ p$.$m$.,680,],[$Midnight$,500,],[6$ a$.$m$.,400,],[$Noon$,310,],[6$ p$.$m$.,230,],[$Midnight$,100,]]$

Assume that the outflow hydrograph at a section $3-$mi downstream is desired.

$($a$)$ Compute the outflow hydrograph by the Muskingum method using values of $K=11$ hr and $x=0\mathrm{.}13.$

$($b$)$ Plot the inflow and outflow hydrographs on a single graph.

$($c$)$ Repeat steps $($a$)$ and $($b$)$ using $x=0.$