Suppose that the total cost (in dollars) for a product is given by
C(x) = 1500 + 200 ln (2x + 1)
where x is the number of units produced.
(a) Find the marginal cost function.
(b) Find the marginal cost when 200 units are produced, and interpret your result.
(c) Total cost functions always increase because producing more items costs more. What then must be true of the marginal cost function? Does it apply in this problem?