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If the cost function for a commodity is:

C(x)= (1/90)x^3+ 4x^2+ 4x+10 dollars

Then find the marginal cost at x=3 units and tell what this predicts about the cost of producing 1 additional unit and 2 additional units. Make sure to show all steps in your work.

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Solution Summary

This solution goes through how to calculate a commodity's marginal cost given a cost function.

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Marginal cost is given by the derivative of the cost function

MC(x) = C'(x) = (1/90)(3x^2) + 8x + ...

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