Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 20,000 + 25xe^x/500.

Question

Find the marginal cost when 500 units are produced. (Round your answer to the nearest cent.)

Answer 1

C'(x) = 25e^x/500 + xe^x/500/20; C'(500) = (25 + 25)e = $135.91