Neco 2021 Agricultural Science Question 3

Practice objective / multiple choice question 3 from the 2021 Neco Agricultural Science examination.

Neco 2021 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 3 NECO • 2021 • AGRICULTURAL_SCIENCE • objective

A fish population follows the logistic growth model \(\frac{dN}{dt}= rN\left(1-\frac{N}{K}\right)\) where the intrinsic rate \(r = 0.4\) year⁻¹ and the carrying capacity \(K = 200{,}000\) fish. A constant harvest \(H\) fish per year is applied. Determine the maximum constant harvest \(H_{\text{max}}\) that will allow the population to reach a non‑zero stable equilibrium, and state the equilibrium population size at that harvest.

Answer Options

A. H_{max}=15,000 fish per year; equilibrium population = 125,000 fish
B. H_{max}=25,000 fish per year; equilibrium population = 75,000 fish
Correct Answer C. H_{max}=20,000 fish per year; equilibrium population = 100,000 fish
D. H_{max}=10,000 fish per year; equilibrium population = 150,000 fish
Correct Answer
C
Correct Option:
H_{max}=20,000 fish per year; equilibrium population = 100,000 fish

About This Question

This is Neco 2021 Agricultural Science Question 3. It is one of the objective questions from the 2021 Neco Agricultural Science examination.

Difficulty level: Hard .

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