As the newest member of the Hydraulics Team for the Badlands Engineering and Construction Company, located just outside the city limits of Rapid City, South Dakota, you have been assigned the task of designing a ductile iron pumping main system carrying a discharge of 0.20m/s over a distance of 8 kilometers from the Belle Fourche Reservoir to the small town of Newall, South Dakota. The elevation of the reservoir 120 meters above datum while the exit point of the main, the Belle Fourche River Treatment Plant will be at a point 150 meters above datum and require a terminal head of 5 meters. The President of your company wants to know the optimum diameter and optimum pumping head by first thing tomorrow morning. Using the local cost factors of m = 0.9347 and k/km = 0.0131, go to work.