The cost in dollars of producing x pounds of a chemical in a factory is given by C(x). Suppose that the "marginal cost" is C'(x) = -.05+.001x ($/pound).
A. How much extra does it cost to increase production from 500 pounds to 5000 pounds?
B. Suppose that the cost of producing 0 pounds of the chemical is $5000. (You need to pay rent even if you close down production). Find the function C(x).