answer: 204
step-by-step explanation:
we are told that the revenue is
xβ
(4080β10x)=β10x^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 βb/2a.
so in this case, we have a=β10 and b=4080, so the x-value of the vertex is
βb/2a= β(4080)/2(β10)=204