Neco Model Questions Vol1 2022 Agricultural Science Question 32
Practice objective / multiple choice question 32 from the 2022 Neco Model Questions Vol1 Agricultural Science examination.
The fish population \(P(t)\) in a lake follows the logistic equation \(\frac{dP}{dt}=rP\left(1-\frac{P}{K}\right)\) with intrinsic growth rate \(r=0.4\ \text{yr}^{-1}\) and carrying capacity \(K=20\,000\) fish. A constant harvest of \(H\) fish per year is applied. (a) Determine the largest constant harvest \(H_{\max}\) that will allow a non‑zero equilibrium population. (b) State the equilibrium population size when the harvest equals \(H_{\max}\).
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This is Neco Model Questions Vol1 2022 Agricultural Science Question 32. It is one of the objective questions from the 2022 Neco Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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