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A company s marginal cost function is MC x The integral we need is thus...

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Calculus

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A company s marginal cost function is MC x The integral we need is thus C x Step 1 We want to find the cost function from the marginal cost From the text we know that the cost is the integral of the marginal cost Solving for dx we have dx 1 9 Step 3 Setting u 9x 1 we find the differential du 9x 1 C x dx C u MC x dx Step 2 Since the integrand is somewhat complicated we try a u substitution The denominator is a good guess so we try that first o and its fixed costs are 250 Find the cost function 1 1 9 du Substituting u and du into our integral we have the following 9x 1 9x 1 X du 1 9x 1 dx dx

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