Neco 2020 Agricultural Science Question 13

Practice objective / multiple choice question 13 from the 2020 Neco Agricultural Science examination.

Neco 2020 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 13 NECO • 2020 • AGRICULTURAL_SCIENCE • objective

A lake fish population follows the logistic growth model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic growth rate \(r=0.4\)\,year\(^{-1}\) and carrying capacity \(K=80\,000\) fish. A manager wishes to harvest a constant number \(H\) of fish each year while keeping the population at equilibrium (i.e., \(\frac{dN}{dt}=0\)). Determine the maximum sustainable annual harvest \(H_{\max}\) and the corresponding equilibrium population size.

Answer Options

A. H_{max}=6,000 fish per year; equilibrium N=30,000 fish
Correct Answer B. H_{max}=8,000 fish per year; equilibrium N=40,000 fish
C. H_{max}=12,000 fish per year; equilibrium N=20,000 fish
D. H_{max}=10,000 fish per year; equilibrium N=50,000 fish
Correct Answer
B
Correct Option:
H_{max}=8,000 fish per year; equilibrium N=40,000 fish

About This Question

This is Neco 2020 Agricultural Science Question 13. It is one of the objective questions from the 2020 Neco Agricultural Science examination.

Difficulty level: Hard .

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