Question

Marginal Cost: The cost (in dollars) of producing x units of a product is given by

C = 20√ − 625 + 705
Rewrite C =
Find the marginal cost C ′ when x=25.

Answer 1

The marginal cost when x=25 is 2 dollars.

Step-by-step explanation:

To find the marginal cost, we need to find the derivative of the cost function with respect to x. Let's start by rewriting the cost function C = 20√x - 625 + 705. Taking the derivative with respect to x, we get C' = 10/√x. Now we can plug in x = 25 to find the marginal cost: C' = 10/√25 = 10/5 = 2. Therefore, the marginal cost C' when x=25 is 2 dollars.