Neco 2022 Agricultural Science Question 30
Practice objective / multiple choice question 30 from the 2022 Neco Agricultural Science examination.
A lake fish population follows the logistic growth model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic growth rate \(r=0.4\) yr\(^{-1}\) and carrying capacity \(K=200{,}000\) fish. A constant annual harvest of \(H\) fish is taken. Each harvested fish yields \(\text{₦}150\) and costs \(\text{₦}30\) to catch; there is also a fixed annual management cost of \(\text{₦}200{,}000\). Assuming the harvest is sustainable (population remains at equilibrium), what harvest level \(H\) (fish per year) maximises the sustainable annual profit, and what is that maximum profit (rounded to the nearest naira)?
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About This Question
This is Neco 2022 Agricultural Science Question 30. It is one of the objective questions from the 2022 Neco Agricultural Science examination.
Difficulty level: Hard .
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