$(15$ points$)$ Consider a pump$-$pipeline system that delivers water

from reservoir A $(45\mathrm{.}5m)$ to reservoir $B(52\mathrm{.}9m)$ through a pipe

with a length of $3,050m,$ a diameter of $0\mathrm{.}50$ m $,$ and a Darcy$-$

Weisbach friction factor of $f=0\mathrm{.}02.$ Minor losses include an inlet