Neco 2022 Agricultural Science Question 40
Practice objective / multiple choice question 40 from the 2022 Neco Agricultural Science examination.
A fish population in a lake follows the logistic growth model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic growth rate \(r=0.4\) year\(^{-1}\) and carrying capacity \(K=50{,}000\) kg. The fishery harvests a constant fraction \(f\) of the existing stock each year, i.e. harvest \(H=fN\). Determine the value of \(f\) that maximizes the sustainable annual harvest (maximum sustainable yield) and give the corresponding harvest amount \(H\) (in kg year\(^{-1}\)).
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About This Question
This is Neco 2022 Agricultural Science Question 40. It is one of the objective questions from the 2022 Neco Agricultural Science examination.
Difficulty level: Hard .
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