The fuel efficiency, E, in litres per 100 kilometres, for a car driven at speed v, in km/h, is E(v)=frac{1600 v}{v2+6400}.
(a). If the speed limit is 100 km/h, determine the legal speed that will maximize the fuel efficiency.
(a) 80 km/h
(b) 60 km/h
(c) 40 km/h
(d) 20 km/h