Problem 2: You recently bought a house and want to improve the flow rate of water on your top floor. The poor flow rate is due to three reasons: The city water pressure at the water meter is poor (p = 200 kPa gage); the piping has a small diameter (D = 1.27 cm) and has been crudded up, increasing its roughness (e/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: replacing all the piping after the water meter with new smooth piping with a diameter of 1.9 cm

Option 2: 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.