the profit function (in millions) for a beverage company for the years 2010 through 2016 can be approximated by f(x)=-26x2 +780x-4879, where x = 10 corresponds to the year 2010. a) During what year did a local maximum profit occur? ) What was the maximum profit? a) A local extremum occurs at a critical number of f. Because the derivative exists for every x, the only critical number(s) occur where the derivative is zero. Find the derivative of f(x). (x)= local maximum profit occurred in the year ) The maximum profit was $ million.