I want exactly 100 psi (pounds per square inch) at the nozzle, but the hose must run up a 50 foot hill. Water has a weight density of 0.0361 pounds per cubic inch. What pressure will the excellent, professional, and highly experienced Engineer need to supply to make this happen? (Neglect viscous line losses and assume the hose has a constant diameter.)

A) 121.7 psi
B) 101.8 psi
C) 110 psi
D) 78.34 psi