The number of units Q of a particular commodity that will be produced when L worker-hours of

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The number of units Q of a particular commodity that will be produced when L worker-hours of labor are employed is modeled by


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Suppose that the labor level varies with time in such a way that t months from now L(t) worker-hours will be employed, where


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for 0 ≤ t ≤ 12.


a. How many worker-hours will be employed in producing the commodity 5 months from now? How many units will be produced at this time?


b. At what rate will production be changing with respect to time 5 months from now? Will production be increasing or decreasing at this time?

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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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