C(x)=.0004x^3-.024x^2+100x+30000; R(x)=350x

Question

Compute the marginal cost, marginal revenue, and the marginal profit funtions.

Answer 1

The word marginal tells you to take the derivative!

 

R'(x) = 350(marginal revenue)

 

C'(x) = .0012x² - .048x + 100 (marginal cost)

 

Marginal Profit would be R'(x) - C'(x).  You can simplify that.