Part $2(60$ Points$)$

To meet increasing water, use demand, a municipality has decided to construct a new water treatment plant that will draw from a nearby natural reservoir using a pump, as shown in the image below.

Given:

$T=5C$

$f=0\mathrm{.}012$

$1m^3=264$ gallons

Atmospheric Pressure $=101$kPa

Purp Clazactanisic Curve

A$)$ Find the flowrate delivered by the pump in this system in $m\frac{3}{s}.$ Assuming the planet can treat water at the same rate it receives it$,$ what is the maximum increase in demand this plant can accommodate in MGD$?$

B$)$ What is the maximum height above the natural reservoir surface that the pump could be installed without causing cavitation?

C$)$ This plant serves a population of $350k$ people with an average consumption of $125$ gallons per day per capita. Would the flowrate found in Part A be able to accommodate this population? If so$,$ how many hours per day would it need to be ran and what would be the daily cost to run the pump if electricity cost $$\frac{0\mathrm{.}10}{k}WH?$