Consider the concrete gravity dam shown in Figure $1.$ The dam has an out of plane dimension of $55$m$.$ You have been hired to conduct steady state seepage analysis on this dam using hand calculations as well as using the commercial software SEEP$/$W$.$ You are to determine the following: $1)$ The daily flow of water under the dam without the cutoff wall using hand calculations, and separately using SEEP$/$W simulation. $2)$ The depth of the cutoff wall required to reduce the daily flow volume under the dam by x $\%($see Table $1$ for value of x $)$ using SEEP$/$W simulation. $3)$ The uplift pressure on the base of the dam without the cutoff wall, based on the flow net and SEEP$/$W model from step $1.4)$ The uplift pressure on the base of the dam, after installation of the cutoff wall to the depth determined in step $2,$ both using SEEP$/$W$,$ and using flow net hand calculations.