Explain all steps please

P$4.$ You recently bought a house and want to improve

the flow rate of water on your top floor. The low flow

rate is due to three reasons: The city water pressure at

the water meter is low $($ p$=200$kPa gage$)$; the piping

has a small diameter $($ D$=1$:$27$cm $)$ and has been

crudded up$,$ increasing its roughness $($ epsi$//$D$=0$:$05)$; and

the top floor of the house is $15$ m higher than the water

meter. You are considering two options to improve the

flow rate: Option $1$ is replacing all the piping after the

water meter with new smooth piping with a diameter of

$1\mathrm{.}9$ cm ; and option $2$ is installing a booster pump while

keeping the original pipes. The booster pump has an

outlet pressure of $300$ kPa $.$ Which option would be

more effective? Neglect minor losses