answer: 204
step-by-step explanation:
we are told that the revenue is
xโ
(4080โ10x)=โ10x^2+4080x
this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula โb/2a.
so in this case, we have a=โ10 and b=4080, so the x-value of the vertex is
โb/2a= โ(4080)/2(โ10)=204