The cost, in dollars, of producing x bicycles is given by C(x) = 60 + 10x + 1000/x (x 10)
(a) What does it cost to produce:
(i) 99;
(ii) 100 bicycles?
(b) What is the cost of producing the 100th bicycle?
(i) Find it exactly;
(ii) Use the derivative to find it approximately.
(c) What is the error in using the derivative to approximate the marginal cost of the 100th bicycle?
(d) What is the average cost per bicycle when producing the 100 bicycles?