Gce Model Questions Vol1 2017 Agricultural Science Question 48
Practice objective / multiple choice question 48 from the 2017 Gce Model Questions Vol1 Agricultural Science examination.
A fish population in a lake follows the logistic growth equation \( \frac{dN}{dt}=rN\left(1-\frac{N}{K}\right) \) with intrinsic growth rate \(r=0.5\ \text{year}^{-1}\) and carrying capacity \(K=10\,000\) fish. A constant harvest of \(H\) fish per year is applied. (a) Determine the maximum sustainable harvest \(H_{\max}\) (the largest constant \(H\) that allows a non‑negative equilibrium). (b) If the fishery wishes to keep the population at 60 % of the carrying capacity, what constant harvest \(H_{60}\) should be applied? Give both harvest values in fish per year.
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About This Question
This is Gce Model Questions Vol1 2017 Agricultural Science Question 48. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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