Acompany's profit is described by the equation p(x)=-5x^2+300x+15,000 where x is the price in dollars that the company charges for its product. what should the company charge for the product to generate the maximum profit? a)$20b)$30c$50d$60

The company charge for the product to generate a maximum profit is $30. Then the correct option is B.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A company's profit is described by the equation

Where x is the price in dollars that the company charges for its product.

Differentiate the equation with respect to x.

For the maximum price

Then we have

Then the company charge for the product to generate the maximum profit is 30 dollars for each.

More about the differentiation link is given below.

link

b

step-by-step explanation:

irrational, cannot