Neco Model Questions Vol1 2018 Agricultural Science Question 47
Practice objective / multiple choice question 47 from the 2018 Neco 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 rate \(r =0.3\ \text{yr}^{-1}\) and carrying capacity \(K =20\,000\) fish. Currently the population is \(N_0 =10\,000\) fish. The lake is harvested at a constant rate \(H\) fish per year. The management plans to increase the harvest by 20\% and at the same time introduce a stocking program that adds \(S =500\) fish each year. Assuming the population reaches a new equilibrium after the change, determine the maximum original harvest rate \(H\) (in fish per year) that will keep the equilibrium population at least 5,000 fish.
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This is Neco Model Questions Vol1 2018 Agricultural Science Question 47. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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