Neco Model Questions Vol1 2024 Agricultural Science Question 41
Practice objective / multiple choice question 41 from the 2024 Neco Model Questions Vol1 Agricultural Science examination.
A fish population in a lake follows the discrete logistic model \(N_{t+1}=N_t+rN_t\left(1-\frac{N_t}{K}\right)-H\). The intrinsic growth rate is \(r=0.4\) per year and the carrying capacity is \(K=15\,000\) fish.\n\n(a) Determine the maximum sustainable harvest \(H_{max}\) (the largest constant harvest that can be taken each year without causing the population to decline in the long run).\n\n(b) If the fishery harvests \(H=2\,500\) fish each year, starting with an initial stock of \(N_0=9\,000\) fish, after how many full years will the stock first fall below \(5\,000\) fish? Show your calculations year by year until the stock drops below the threshold.
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This is Neco Model Questions Vol1 2024 Agricultural Science Question 41. It is one of the objective questions from the 2024 Neco Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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