The total cost C(x) associated with the production x units of an item

1.	The total cost C(x) associated with the production x units of an item is given by C(x) = 0.005 x3 - 0.02 x2 + 30x + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.
Answer» Marginal cost = C'(x) = 0.015 x² -0.04x + 30 At x = 3, C'(3) = 30.015

The total cost C(x) associated with the production x units of an item is given by C(x) = 0.005 x3 - 0.02 x2 + 30x + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

Answer»

Marginal cost = C'(x) = 0.015 x² -0.04x + 30

At x = 3, C'(3) = 30.015

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The total cost C(x) associated with the production x units of an item is given by C(x) = 0.005 x3 - 0.02 x2 + 30x + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

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