Question: Let f(v) be the fuel consumption, in gallons per hour, of a certain aircraft as a function of its airspeed, v, in miles per hour. A graph of f(v) is given in Figure.
(a) Let g(v) be the fuel consumption of the same aircraft, but measured in gallons per mile instead of gallons per hour. What is the relationship between f(v) and g(v)?
(b) For what value of v is f(v) minimized?
(c) For what value of v is g(v) minimized?
(d) Should a pilot try to minimize f(v) or g(v)?
