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Mathematics, 04.06.2020 17:58 CHENDESHEN

The cost (in dollars) of producing x units of a certain commodity is given below. C(x) = 3000 + 15x + 0.15x^2

(a) Find the average rate of change of C with respect to x when the production is changed from x = 100 to the given value.
(i) x = 102

(ii) x = 101

(b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.)
$ /per unit

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