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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding a Cost Function In Exercises 55–58, find the cost function for the given marginal cost and fixed cost. See Example 8.

Marginal Cost Fixed Cost ( x = 0 ) d C d x = 85 $ 5500

To determine

To calculate: The cost function for the marginal cost dCdx=85 that have a fixed cost of $5500.

Explanation

Given Information:

The marginal cost is dCdx=85 and the fixed cost is $5500.

Formula used:

The constant rule of integration kdx=kx+C.

Calculation:

Consider the marginal cost, dCdx=85.

Use the constant rule of integration kdx=kx+C, integrate the provided marginal cost.

dCdxdx=85dxC(x)=85x+K

The fixed cost at x=0 is $5500

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