A $1\mathrm{.}75"$ PVC $($i$.$e$.$ smooth$)$ pipe is being used to connect two reservoirs together. The water surface elevation $($W$.$S$.$E$)$

of the two reservoirs has a $15ft$ elevation difference $($with flow desired to move into the higher elevation$).300ft$ of

pipe is required to connect the reservoirs. The system includes $10$ pipe elbows $(90$ threaded$),6$ pipe unions, and a $\frac{1}{3}$

closed ball valve. In addition, a $1\frac{1}{2}$ horsepower pump with the following pump curve characteristics will be used to

achieve flow in the desired direction:

Using the pipe design spreadsheet we developed in determine the operating point of this system with the pump described

above. For a little extra challenge numerically determine the EXACT value of the operating point $($i$.$e$.$ don't just use

graphical determination of the answer$).$ The answer should be in the form of the graph shown below.