Gce Model Questions Vol1 2021 Agricultural Science Question 2

Practice objective / multiple choice question 2 from the 2021 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2021 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 2 GCE_MODEL_QUESTIONS_VOL1 • 2021 • AGRICULTURAL_SCIENCE • objective

A fish population follows logistic growth \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic growth rate \(r=0.4\) yr⁻¹ and carrying capacity \(K=500{,}000\) fish. Harvesting follows \(H = qEN\) where catchability \(q=0.00002\) (per boat‑day) and effort \(E\) is measured in boat‑days per year. The fishery wishes to catch a sustainable amount equal to 20 % of the maximum sustainable yield (MSY). Determine the effort \(E\) (rounded to the nearest whole boat‑day) that will give this catch and state the corresponding equilibrium population size (rounded to the nearest thousand fish).

Answer Options

A. 1,200 boat‑days per year; approximately 460,000 fish
B. 1,080 boat‑days per year; approximately 480,000 fish
Correct Answer C. 1,056 boat‑days per year; approximately 474,000 fish
D. 1,040 boat‑days per year; approximately 470,000 fish
Correct Answer
C
Correct Option:
1,056 boat‑days per year; approximately 474,000 fish

About This Question

This is Gce Model Questions Vol1 2021 Agricultural Science Question 2. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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