Suppose that the total cost (in dollars) for a product is given by , where x is the number of units produced. Find the marginal cost function.

Question

Suppose that the total cost (in dollars) for a product is given by  , where x is the number of units produced. Find the marginal cost function. ​

Quizplus · Accepted Answer

The marginal cost is the derivative of the total cost function with respect to the number of units produced. 
11eb0d3b_9878_8a5e_9790_f539e143a7c2_TB1243_11 = 10x^2 + 20x + 5000
Taking the derivative of this gives:
d/dx (10x^2 + 20x + 5000) = 20x + 20
Simplifying, we get:
20x + 20 = 20(x+1)
Therefore, the marginal cost function is:
11eb0d3b_9878_8a60_9790_9f7a0efebd4a_TB1243_11

Suppose That the Total Cost (In Dollars) for a Product