The revenue R received for selling x stereos is given by the

The revenue R received for selling x stereos is given by the formula R=x^2/ 3 +100x-800

How many stereos must be sold to obtain the maximum revenue?

Find the maximum revenue.

Solution

Revenue is a quadratic equation and quadratic form parabola

Since the leading coefficient is positive so parabola opens upward and there exist a minimum revenue at the vertex and maximum revenue can be infinite