Neco 2021 Agricultural Science Question 8
Practice objective / multiple choice question 8 from the 2021 Neco Agricultural Science examination.
A lake fish population follows the logistic model \(\frac{dP}{dt}=rP\left(1-\frac{P}{K}\right)\) with intrinsic growth rate \(r=0.4\) yr\(^{-1}\) and carrying capacity \(K=10{,}000\) fish. A constant harvest of \(H\) fish per year is planned. (a) What is the maximum sustainable harvest \(H_{\text{max}}\) that allows a non‑zero equilibrium? (b) If the manager wants the equilibrium population to be at least 4 000 fish, what is the largest integer harvest \(H\) (in fish per year) that satisfies this condition?
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About This Question
This is Neco 2021 Agricultural Science Question 8. It is one of the objective questions from the 2021 Neco Agricultural Science examination.
Difficulty level: Hard .
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