Problem $2(65$ points$)$

For the given source and loads shown below, find the distribution of flows in the simple network. What should be the pressure at the source, if the load at $D$ needs to be delivered with a pressure of $50$ psi? Assume network is in a horizontal plan and $f=0\mathrm{.}012$ for all pipes. Ignore minor losses and stop iteration when correction is within $2$ percent of the source.

$\backslash$table$[[$Pipe$,$Length $($ft$),$Dia$($in$)],[$BA$,800,12],[$BC$,800,8],[$AD$,800,12],[$CD$,800,12],[$AC$,1000,12]]$