# determine the cost function by integral

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Determine the cost function C(x) that corresponds to the marginal cost and fixed cost given.

Marginal cost = 30 - 0.05x,

Fixed cost = $100

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The solution shows how to determine the cost function that corresponds to the specific marginal cost and fixed cost.

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The marginal cost (MC) function is expressed as the derivative of the total cost (TC) function with respect to quantity

so the total cost is the integral of ...

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