The performance data of a water pump follow the curve fit H_available = H₀ – aV̇², where the pump’s shutoff head H₀ = 7.46 m, coefficient a = 0.0453 m/(Lpm)², the units of pump head H are meters, and the units of V̇ are liters per minute (Lpm). The pump is used to pump water from one large reservoir to another large reservoir at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The system curve simplifies to H_required = (z₂ – z₁) + bV̇², where elevation difference z₂ – z₁ = 3.52 m, and coefficient b = 0.0261 m/(Lpm)². Calculate the operating point of the pump (V̇_operating and H_operating) in appropriate units (Lpm and meters, respectively).