Question $1.$ The distribution network shown in the figure below is fed from node $1$ and the piezometric elevation at this point is $150m.$ Balance the network consisting of PVC pipes at point $M$ with the method of dead ends and calculate the piezometer elevations. Assume that the system in the example served a total population of $10800$ person and the maximum Daily per capita consumption is $200\frac{L}{\text{C}\text{a}\text{p}\text{.}\text{d}\text{a}\text{y}}$

$($C of PVC pipes$=150,$ Qfire, auxiliary $=2\mathrm{.}5\frac{L}{s},Q_{\text{f}\text{i}\text{r}\text{e}\text{,}\text{m}\text{a}\text{i}\text{n}}=5\frac{L}{s})$