Gce Model Questions Vol1 2018 Agricultural Science Question 12
Practice objective / multiple choice question 12 from the 2018 Gce Model Questions Vol1 Agricultural Science examination.
In a lake the fish population follows the logistic model\n\[\frac{dN}{dt}=rN\!\left(1-\frac{N}{K}\right)-hN,\]\nwhere the carrying capacity \(K=5000\) tonnes and the intrinsic growth rate \(r=0.4\;\text{yr}^{-1}\). The harvest rate is proportional to the stock, \(h=qE\). Currently the fishing effort gives \(qE=0.10\;\text{yr}^{-1}\).\nThe fishery wishes to increase effort by a percentage \(x\%\) but must keep the equilibrium stock at least \(60\%\) of \(K\).\nDetermine the greatest possible increase \(x\) (to the nearest whole percent) and the corresponding equilibrium stock (in tonnes).
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This is Gce Model Questions Vol1 2018 Agricultural Science Question 12. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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