Waec Model Questions Vol1 2022 Agricultural Science Question 21

Practice objective / multiple choice question 21 from the 2022 Waec Model Questions Vol1 Agricultural Science examination.

Waec Model Questions Vol1 2022 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 21 WAEC_MODEL_QUESTIONS_VOL1 • 2022 • AGRICULTURAL_SCIENCE • objective

In a lake, the fish population follows the logistic growth model dN/dt = rN(1 - N/K). Two constant annual harvests have been recorded: when H = 1,500 fish the population stabilises at N = 8,000 fish; when H = 2,500 fish the population stabilises at N = 6,000 fish. Determine (a) the intrinsic growth rate r (per year) and the carrying capacity K (number of fish); (b) the maximum sustainable yield (MSY) and the equilibrium population at which this yield occurs; (c) the percentage of the carrying capacity represented by this equilibrium population.

Answer Options

A. r ≈ 1.25 per year; K ≈ 8,500 fish; MSY ≈ 2,660 fish per year; equilibrium population at MSY ≈ 4,250 fish; this is 50% of K
B. r ≈ 0.85 per year; K ≈ 10,200 fish; MSY ≈ 2,300 fish per year; equilibrium population at MSY ≈ 5,100 fish; this is 50% of K
Correct Answer C. r ≈ 1.10 per year; K ≈ 9,636 fish; MSY ≈ 2,657 fish per year; equilibrium population at MSY ≈ 4,818 fish; this is 50% of K
D. r ≈ 1.10 per year; K ≈ 9,636 fish; MSY ≈ 3,000 fish per year; equilibrium population at MSY ≈ 5,000 fish; this is 52% of K
Correct Answer
C
Correct Option:
r ≈ 1.10 per year; K ≈ 9,636 fish; MSY ≈ 2,657 fish per year; equilibrium population at MSY ≈ 4,818 fish; this is 50% of K

About This Question

This is Waec Model Questions Vol1 2022 Agricultural Science Question 21. It is one of the objective questions from the 2022 Waec Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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