Neco 2023 Agricultural Science Question 45

Practice objective / multiple choice question 45 from the 2023 Neco Agricultural Science examination.

Neco 2023 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 45 NECO • 2023 • AGRICULTURAL_SCIENCE • objective

A fish population in a lake follows the logistic growth model \( \frac{dN}{dt}=rN\left(1-\frac{N}{K}\right) \) where the intrinsic rate of increase \(r = 0.4\) year\(^{-1}\) and the carrying capacity \(K = 200{,}000\) fish. The fishery harvests a constant number \(H\) of fish each year.\n\n(a) Determine the maximum constant harvest \(H_{\max}\) that can be sustained indefinitely without driving the population to extinction.\n(b) Under this maximum sustainable harvest, what is the equilibrium population size?

Answer Options

A. H_max = 18,000 fish per year; equilibrium N = 90,000 fish
Correct Answer B. H_max = 20,000 fish per year; equilibrium N = 100,000 fish
C. H_max = 24,000 fish per year; equilibrium N = 120,000 fish
D. H_max = 16,000 fish per year; equilibrium N = 80,000 fish
Correct Answer
B
Correct Option:
H_max = 20,000 fish per year; equilibrium N = 100,000 fish

About This Question

This is Neco 2023 Agricultural Science Question 45. It is one of the objective questions from the 2023 Neco Agricultural Science examination.

Difficulty level: Hard .

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