Problem $2(20$ points$)$: The pump performance curve for a centrifugal pump is provided below. The pump fluid is water, $=1\mathrm{.}94$ slug$/f{t}^3,=2\mathrm{.}09{10}^{-5}$slu$\frac{g}{ft-s}.$ Answer the following questions about this pump:

Determine the total head, brake horsepower, efficiency, and required net positive suction head for the $32-$in diameter pump with a volume flow rate of $14,000$ gallons per minute and a rotation speed of $1170\frac{r}{m}in.$