Gce Model Questions Vol1 2024 Agricultural Science Question 29
Practice objective / multiple choice question 29 from the 2024 Gce Model Questions Vol1 Agricultural Science examination.
A lake supports a fish population that follows the logistic growth model \( \frac{dN}{dt}=rN\left(1-\frac{N}{K}\right) \) with intrinsic growth rate \( r = 0.4\ \text{year}^{-1} \) and carrying capacity \( K = 200\,000 \) fish.\n(a) What is the maximum sustainable yield (MSY) in fish per year?\n(b) The fishery harvests a constant \( H = 30\,000 \) fish each year. Starting from an initial stock of \( N_0 = 120\,000 \) fish, using the discrete approximation \( N_{t+1}=N_t + rN_t\left(1-\frac{N_t}{K}\right) - H \), after how many full years will the stock fall below \( 50\,000 \) fish?
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This is Gce Model Questions Vol1 2024 Agricultural Science Question 29. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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