The Mitscherlich model for agricultural production specifies that the size Q(t) of a crop changes at a

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The Mitscherlich model for agricultural production specifies that the size Q(t) of a crop changes at a rate proportional to the difference between the maximum possible crop size B and Q; that is,


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a. Solve this separable equation for Q(t). Express your answer in terms of k and the initial crop size Q0 = Q(0).


b. A particular crop has a maximum size of 200 bushels per acre. At the start of the growing season (t = 0), the crop size is 50 bushels and 1 month later, it is 60 bushels. How large is the crop 3 months later (t = 3)?

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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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