An electrical issue burned the pumping system at the City of Roadrunners, which conveys water from Lake Birds to an elevated tank. The system needs immediate replacement, and the local manufacturer has only two pumps available in stock for immediate installation. The characteristic curve for the Pump 1 is hp = 82 - 8 x Q, and Pump 2 is 140 - 50 x Q. Both pumps have an efficiency of 75%. The system needs to be able to meet a water demand of at least 1 m/s. The electricity price in the City of Roadrunners is $0.03 per kWh (Note: kWh = kW x hour). Pump 1 is half of the price of Pump 2. The system: the length of the pipeline is 550 meters, and the diameter is 500 mm. Neglect minor losses and assume pipe friction coefficient f = 0.02. Lake Birds water surface elevation is ZB = 950 m, and the elevated tank is ZT = 1000 m. Z=1000 m Tank Answer the following questions: a. Calculate the flow rate in the system if pump 2 is selected. Flow rate: P Flow rate: ZB=950 m Least cost: Lake Birds m/s (Use only numbers and round to two decimal points). b.Calculate the flow rate in the system if two pumps 1 are installed in parallel. Pumps operating in parallel looses 5% of their original efficiency. m/s (Use only numbers and round to two decimal points). . c. What is the least cost between the two alternatives in $/hour? (Hint the cost is the product of pumping power times the electricity price). $/hour (Use only numbers and round to two decimal points).