The monthly profit P, in thousands of pesos of a company can be estimated by the formula P(x)= -3x^2+30x+2, where x is the number of units sold per month. Find the number of units that must be sold by the company to maximize its profit and then find the maximum profit.

Answer 1

since the parabola opens downward, its maximum is at the vertex.

As you recall, the vertex of ax^2+bx+c is at x = -b/2a

In this case, that is x = 30/6 = 5.

I expect you can evaluate P(5).