A new airplane concept has the following parameters: A fuel tank which can hold 1,000 gallons of fuel. With light-weight composite materials the airplane has an empty weight of only 2,000 lb. The elliptical wing has a platform area of 1,000 ft and high aspect ratio of 20. The zero lift drag coefficient of the entire airplane is only 0.01. The engine burns 0.5 pounds of fuel per horsepower for every hour of flight (note that 1 horsepower-550 ft lbf/s). With the goal of maximizing the range of this airplane, estimate the following: The optimum flight speed of this aircraft. The range of this aircraft. The time that the aircraft spends in the air while flying over its maximum range. The engine is fitted with an ultra-modern propeller with an efficiency of 90%. The power required as a function of flight velocity for this new airplane is shown in the attached figure.