Question 86040
{{{R(x)=490x-0.07x^2}}}


{{{R(x)=490x-(7/100)x^2}}} Make into {{{0.07}}} into a fraction



{{{R(x)=-(7/100)x^2+490x}}} Rearrange the terms

Now lets convert this to vertex form to find the max revenue

*[invoke completing_the_square "-7/100", 490, 0]


So the maximum revenue that can be generated is $857,500 (the y-coordinate of the vertex)  by selling 3,500 units (the x-coordinate of the vertex)