Question
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.
Answers
Steve
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).
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).