The fuel consumption of a heavy panel truck can be modeled as the sum of the fuel consumed by the truck’s rolling resistance and the fuel consumed by its wind resistance.

Rolling resistance fuel consumption is given by R(v) = 0.02 + 6.6/v², where R = fuel consumption in gallons per mile, and v = the truck’s forward velocity in miles per hour.

Using the same units, wind resistance fuel consumption is given by
.


Use methods of the calculus to compute the minimum and maximum fuel consumption obtained by the panel truck for forward velocities between 3 and 60 miles per hour, inclusive. Give your answers in the more customary units of miles per gallon, however, not gallons per mile. Indicate velocities for these mpg values.