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 ( \(p=200 \mathrm{kPa}\) gage); the piping has a small diameter \((D=1.27 \mathrm{~cm})\) and has been crudded up, increasing its roughness \((e / D=0.05)\); and the top floor of the house is \(15 \mathrm{~m}\) 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 \(1.9 \mathrm{~cm}\); and option 2 is installing a booster pump while keeping the original pipes. The booster pump has an outlet pressure of \(300 \mathrm{kPa}\). Which option would be more effective? Neglect minor losses.

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D = 1.9 cm e/D=0 p = 200 kPa Water meter 7 m Option 1 1 m 1 m D= 1.27 cm elD 0.05- 15 m 15 m p = 200 kPa p = 300 kPa Water meter 7 m Booster pump Option 2 P8.102