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

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).

Transcribed Image Text:

w(t) = 10 1 + 15e-0.05t -0.01t and p(t) = e