Gce Model Questions Vol1 2017 Agricultural Science Question 27

Practice objective / multiple choice question 27 from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 27 GCE_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

A lake fish population follows logistic growth \( \frac{dN}{dt}= rN\left(1-\frac{N}{K}\right) \) with intrinsic rate \( r = 0.5\ \text{yr}^{-1} \) and original carrying capacity \( K_{0}=200{,}000 \) fish.\n\n(a) Determine the maximum sustainable yield (MSY) and the corresponding constant annual harvest \( H \).\n\n(b) Eutrophication raises the carrying capacity by \(25\%\) (so \( K_{1}=1.25K_{0}\) ) while the harvest remains at the value found in part (a). Calculate the new equilibrium population size and state whether the harvest is now above, below, or at the sustainable level for the altered ecosystem.

Answer Options

A. Harvest is at the new sustainable level (equilibrium ≈ 181 000 fish)
Correct Answer B. Harvest is below the new sustainable level (equilibrium ≈ 181 000 fish)
C. Harvest is above the new sustainable level (equilibrium ≈ 190 000 fish)
D. Harvest is below the new sustainable level (equilibrium ≈ 170 000 fish)
Correct Answer
B
Correct Option:
Harvest is below the new sustainable level (equilibrium ≈ 181 000 fish)

About This Question

This is Gce Model Questions Vol1 2017 Agricultural Science Question 27. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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