Consider a pump$-$force main system presented in the figure below in which the pipeline diameter starts at $3ft$ and then decreases to $2ft$ after the pump station.

Assume that the pump head is variable with $Q$ and equal to $hp=100-0\mathrm{.}80Q^2.$ Kinematic viscosity of water is $1\mathrm{.}00**{10}^{-5}f\frac{t^2}{s},$ and all pipe wall roughness are equal to $0\mathrm{.}05in.$ Based on this:

Calculate the flow rate anticipated in this system. Neglect all local losses except the one at the dowistream reservoir $($Kexit$=1\mathrm{.}0).(20$ pts$.)$

Calculate the EGL and HGL for this system. Use engineering paper and draw these lines to scale. Quality of the graphical representation will count toward this grade $(10$ pts$.)$

Then use the calculated HGL and obtain the pressure head estimate for points A and $B$ in the pipeline. $(10$ pts$)$