The total cost of producing x units of a particular commodity is C thousand dollars, where C(x)

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The total cost of producing x units of a particular commodity is C thousand dollars, where C(x) = 3x2 + x + 48, and the average cost is


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a. Find all vertical and horizontal asymptotes of the graph of A(x).


b. Note that as x gets larger and larger, the term 48/x in A(x) gets smaller and smaller. What does this say about the relationship between the average cost curve y = A(x) and the line y = 3x + 1?


c. Sketch the graph of A(x), incorporating the result of part (b) in your sketch.

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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