A pump, which has characteristics such in Table $1$ is used to deliver water from $2$ reservoirs having a static head of $5m$ through a pipeline. The pipe is $700m$ length with $125mm$ in diameter, having a constant friction factor of $0\mathrm{.}016.$ The total minor losses coefficient, $k_m$ is $3\mathrm{.}3.$

Table $1$: Pump performance and efficiency

$\backslash$table$[[$Flow rate $(\frac{m^3}{s}),0,0\mathrm{.}006,0\mathrm{.}012,0\mathrm{.}018,0\mathrm{.}024,0\mathrm{.}03],[$Head $(m),16,15,13,10,6,1],[$Efficiency $(\%),0,45,60,65,55,10],[Hp,5,9\mathrm{.}4,22\mathrm{.}6,44\mathrm{.}6,75\mathrm{.}4,115]]$

Determine:

i$.$ Flow rate, head, and efficiency at operating point

ii$.$ Power input required by the pump.

iii. Sketch Energy Grade Line $($EGL$)$ and Hydraulic Grade Line $($HGL$)$ between the two reservoirs when the pump is present.

iv$.$ The new flowrate required is $0\mathrm{.}03\frac{m^3}{s},$ what can be done to achieve that? Rule out the probability to change pump in your decision and give comment on your answer.