The profits in hundreds of dollars, p(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: p(c) = –20c2 + 320c + 5,120. what is the maximum profit the company can make from the product?

The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.



The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.