# Math Help - help please.

An analyst has found that a company’s costs and revenues in dollars for one product are given by C(x)=15x+250 and R(x) 45x+x^4/100 respectively, where x is the number of items produced and sold. Find the marginal profit when 10 units are produced and sold.

thank you so much.

2. Originally Posted by jhonwashington

An analyst has found that a company’s costs and revenues in dollars for one product are given by C(x)=15x+250 and R(x) 45x+x^4/100 respectively, where x is the number of items produced and sold. Find the marginal profit when 10 units are produced and sold.

thank you so much.
What is the difficulty here?

Profit is:

$P(x)=R(x)-C(x)$

and the marginal profit at production level $z$ is:

$\left. \frac{d}{dx}P(x)\right|_{x=z}$

As the profit is a polynomial in $x$ you should have no problem computing the required magrinal profit.

CB