Waec Model Questions Vol1 2024 Agricultural Science Question 13

Practice objective / multiple choice question 13 from the 2024 Waec Model Questions Vol1 Agricultural Science examination.

Waec Model Questions Vol1 2024 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 13 WAEC_MODEL_QUESTIONS_VOL1 • 2024 • AGRICULTURAL_SCIENCE • objective

A lake stocked with tilapia follows the logistic growth model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) where the intrinsic growth rate \(r=0.6\) year⁻¹ and the carrying capacity \(K=8000\) fish. A constant annual harvest \(H\) (fish year⁻¹) is imposed. Determine the maximum constant harvest that can be sustained indefinitely without driving the population to extinction (i.e., the maximum sustainable yield). Also give the equilibrium population size that corresponds to this harvest.

Answer Options

A. Maximum sustainable harvest = 800 fish/year; equilibrium population = 2000 fish
B. Maximum sustainable harvest = 1000 fish/year; equilibrium population = 5000 fish
Correct Answer C. Maximum sustainable harvest = 1200 fish/year; equilibrium population = 4000 fish
D. Maximum sustainable harvest = 1500 fish/year; equilibrium population = 3000 fish
Correct Answer
C
Correct Option:
Maximum sustainable harvest = 1200 fish/year; equilibrium population = 4000 fish

About This Question

This is Waec Model Questions Vol1 2024 Agricultural Science Question 13. It is one of the objective questions from the 2024 Waec Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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