The cost (in dollars) of producing x units of a certain commodity is C(x) = 2000 + 11x + 0.1x2.
(a) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.)
(i) x = 103
$ per unit
(ii) x = 101
$ per unit
(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)
$ per unit