Gce Model Questions Vol1 2020 Agricultural Science Question 37
Practice objective / multiple choice question 37 from the 2020 Gce Model Questions Vol1 Agricultural Science examination.
A lake fish population follows the logistic model \( \frac{dN}{dt}=rN\left(1-\frac{N}{K}\right) \) with intrinsic growth rate \( r=0.6\ \text{year}^{-1} \) and carrying capacity \( K=20\,000 \) fish. A constant annual harvest of \( H \) fish is applied. (a) Determine the maximum constant harvest \( H_{\max} \) that can be sustained without driving the population to extinction. (b) If the manager wishes to maintain an equilibrium population of exactly 8\,000 fish, what constant harvest \( H \) should be applied? State whether this harvest is sustainable.
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About This Question
This is Gce Model Questions Vol1 2020 Agricultural Science Question 37. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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