The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=700−0.5x is the unit price. Find the maximum revenue.

Answer 1

R(x) = x ( 700 - 0.5x)

the max occurs at -b/(2a), or the average of the solutions, which is 700

max revenue is then 700*(700 - 0.5*700) =

700 * ( 700 - 350) =

700 * 350 =

245000