Gce Model Questions Vol1 2023 Agricultural Science Question 40
Practice objective / multiple choice question 40 from the 2023 Gce Model Questions Vol1 Agricultural Science examination.
A lake fish population follows logistic growth \(\frac{dN}{dt}=rN\bigl(1-\frac{N}{K}\bigr)\) with \(r=0.5\) yr⁻¹ and \(K=200{,}000\) fish. Harvest is given by \(H = qEN\) where catchability \(q=0.00001\) fish ( effort × fish )⁻¹, effort \(E\) is measured in unit‑effort per year, and price per fish is $5. The cost of effort is $2 per unit‑effort per year. Assuming a sustainable equilibrium (\(dN/dt=0\)), determine the effort level that maximises annual profit and give the corresponding sustainable yield (catch per year).
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About This Question
This is Gce Model Questions Vol1 2023 Agricultural Science Question 40. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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