The manager of a fishery determines that t weeks after 3,000 fish of a particular species are

Question:

The manager of a fishery determines that t weeks after 3,000 fish of a particular species are hatched, the average weight of an individual fish will be w(t) = 0.8te−0.05t pounds, for 0 ≤ t ≤ 20. Moreover, the proportion of the fish that will still be alive after t weeks is estimated to be


image


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


b. For what value of t is the expected yield E(t) the largest? What is the maximum expected yield?


c. Sketch the yield curve y = E(t) for 0 ≤ t ≤ 20.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

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

Question Posted: