A pump with curves shown below is placed in a $2,000$ foot long, $8-$inch diameter pipeline $\backslash ((\backslash$mathrm$\{$C$\}=125)\backslash )$ to lift water from a low reservoir $($EL $100\text{'}$ above mean sea level$)$ to a high reservoir $($EL $200\text{'}$ above mean sea level$).$ Determine following parameters:

a$)$ Operating point

b$)$ Efficiency

c$)$ Motor horsepower

d$)$ Best Efficiency Point $($BEP$)$

e$)$ Cost effective modification to move operating point closer to BEP

f$)$ Maximum recommended static lift