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The cost (in dollars) of producing x units of a certain commodity is C(x) = 7,000 + 5x + 0.05x2. (a) Find the average rate

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The cost (in dollars) of producing x units of a certain commodity is C(x) = 7,000 + 5x + 0.05x2. (a) Find the average rate of change (in $ per unit) 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 (ii) x = 101 $ [:] per unit (In) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its signicance will be explained in a future chapter.) $ [:] per unit

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