Dom, the manager of a fishery, determines that t weeks after 300 fish of a particular species

Question:

Dom, the manager of a fishery, determines that t weeks after 300 fish of a particular species are released into a pond, the average weight of an individual fish (in pounds) for the first 10 weeks will be w(t) = 3 + t − 0.05tDom further determines that the proportion of the fish that are still alive after t weeks is given by


image


a. The expected yield Y(t) of the fish after t weeks is the total weight of the fish that are still alive. Express Y(t) in terms of w(t) and p(t), and sketch the graph of Y(t) for 0 ≤ t ≤ 10.


b. When should Dom expect the yield Y(t) to be maximized? What is the maximum yield?

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: