The pump curve for a given pump is represented by

where h_p,pump is the head provided by the pump in feet and Q is the discharge in gpm. The system curve for a pumping application is hp, sys = 5 + 0.002Q² where h_p,sys is the head in feet required to operate the system and Q is the discharge in gpm. Find the operating point (Q) for 

(a) One pump, 

(b) Two identical pumps connected in series, and

(c) Two identical pumps connected in parallel.

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hp.pump = 20 100