$(28$ pt$)$ Reservoirs $A,B,$ and $C$ are connected as shown in the figure below. Suppose that pipe $1($AJ$)$ is $30-$in PVC$,7000ft$ long; pipe $2($BJ$)$ is $24-$in PVC$,4000ft$ long; and pipe $3($CJ$)$ is $30-$in concrete $($general$),1500ft$ long. The elevation of the water surfaces in reservoirs A and $B$ are $275$ and $265ft,$ respectively, and the discharge through pipe $1$ is $30f\frac{t^3}{s}($or cfs$).$ The water temperature is $50F.$ Using the Darcy$-$Weisbach equation for pipe friction losses, find the elevation of the surface of reservoir C$.$ You can do this Type I $(3-$Reservoir$)$ problem by hand or in Excel. Neglect minor losses. $($Answer is between $230-260ft)$