Apump draws water from a storage tank (water surface elevation = 70 ft) through a 6-inh pipe. the pump is at an elevation of 50 ft and its 4-inch diameter delivery pipe terminates at a 3 inch diameter nozzle at an elevation of 80 ft. head losses amount to 5 v^2/2g in the 6 inch pipe and 12 v^2 /2g in the 4 inch pipe. if the pump develops a head of 80 ft, what is the system discharge?