Question

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) = -20c^2 + 320c + 5120. What is the maximum profit the company can make from the product?

Answer 1

640,000

This is because the vertex of the equation (which can be found by using -b/2a) is (8, 6400). Then you know it is expressed in hundreds of dollars, so you multiply the y term by 100 to get your answer.