answer: 204
step-by-step explanation:
we are told that the revenue is
xā
(4080ā10x)=ā10x^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 āb/2a.
so in this case, we have a=ā10 and b=4080, so the x-value of the vertex is
āb/2a= ā(4080)/2(ā10)=204