Neco 2025 Agricultural Science Question 49

Practice objective / multiple choice question 49 from the 2025 Neco Agricultural Science examination.

Neco 2025 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 49 NECO • 2025 • AGRICULTURAL_SCIENCE • objective

A lake fish population follows the logistic model \(\frac{dP}{dt}=rP\left(1-\frac{P}{K}\right)\) with intrinsic growth rate \(r=0.5\) per year and carrying capacity \(K=200{,}000\) fish.\n\n(a) Determine the maximum sustainable annual harvest \(H_{max}\) (fish per year) that can be taken while keeping the population at a stable equilibrium.\n(b) If the manager harvests 10% more than \(H_{max}\) for one year only, what is the population size at the end of that year, assuming the population was at the equilibrium level before the increase?

Answer Options

Correct Answer A. H_{max}=25,000 fish per year; population after the 10% higher harvest = 97,500 fish
B. H_{max}=30,000 fish per year; population after the 10% higher harvest = 92,500 fish
C. H_{max}=22,500 fish per year; population after the 10% higher harvest = 100,000 fish
D. H_{max}=20,000 fish per year; population after the 10% higher harvest = 95,000 fish
Correct Answer
A
Correct Option:
H_{max}=25,000 fish per year; population after the 10% higher harvest = 97,500 fish

About This Question

This is Neco 2025 Agricultural Science Question 49. It is one of the objective questions from the 2025 Neco Agricultural Science examination.

Difficulty level: Hard .

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