Gce Model Questions Vol1 2021 Agricultural Science Question 38

Practice objective / multiple choice question 38 from the 2021 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2021 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 38 GCE_MODEL_QUESTIONS_VOL1 • 2021 • AGRICULTURAL_SCIENCE • objective

A lake fish population follows the logistic model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic growth rate \(r=0.4\ \text{yr}^{-1}\) and carrying capacity \(K=80{,}000\) fish. A constant annual harvest \(H\) is applied. Determine the maximum constant harvest \(H_{\text{max}}\) that will allow the population to settle at a non‑zero equilibrium, and give the equilibrium population size at this harvest level.

Answer Options

A. H_{max}=8,000 fish/yr; equilibrium N=30,000 fish
B. H_{max}=10,000 fish/yr; equilibrium N=50,000 fish
C. H_{max}=6,400 fish/yr; equilibrium N=32,000 fish
Correct Answer D. H_{max}=8,000 fish/yr; equilibrium N=40,000 fish
Correct Answer
D
Correct Option:
H_{max}=8,000 fish/yr; equilibrium N=40,000 fish

About This Question

This is Gce Model Questions Vol1 2021 Agricultural Science Question 38. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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