Corwin Lewis, the manager of a fishery, determines that t days after 1,000 fish of a particular

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Corwin Lewis, the manager of a fishery, determines that t days after 1,000 fish of a particular species are released into a pond, the average weight of an individual fish will be w(t) pounds and the proportion of the fish still alive after t days will be p(t), where


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a. The expected yield E(t) from harvesting after t days is the total weight of the fish that are still alive. Express E(t) in terms of w(t) and p(t).


b. When should Corwin harvest the fish to maximize the expected yield E(t)? What is the maximum expected yield?


c. Sketch the yield curve y = E(t).

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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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