The cost (in dollars) of producing units of a certain commodity is C(x) = 5000 + 10x

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The cost (in dollars) of producing units of a certain commodity is C(x) = 5000 + 10x + 0.05x2.
(a) Find the average rate of change of C with respect to when the production level is changed
(i) From x = 100 to x = 105
(ii) From x = 100 to x = 101
(b) Find the instantaneous rate of change of C with respect to when x = 100. (This is called the marginal cost. Its significance will be explained in Section 3.3.)
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