Gce Model Questions Vol1 2021 Agricultural Science Question 35

Practice objective / multiple choice question 35 from the 2021 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2021 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 35 GCE_MODEL_QUESTIONS_VOL1 • 2021 • AGRICULTURAL_SCIENCE • objective

Fish population in a lake follows the logistic growth model \( \frac{dN}{dt}= rN\left(1-\frac{N}{K}\right) \) where the intrinsic rate \( r = 0.4\ \text{yr}^{-1} \) and the carrying capacity \( K = 50\,000 \) fish. The lake is initially stocked with 20 000 fish. (a) Determine the maximum sustainable annual harvest \( H_{\max} \) (in fish per year). (b) If a constant harvest of \( H = 3\,000 \) fish per year is applied, calculate the equilibrium population size that will be maintained.

Answer Options

A. H_max = 4 500 fish per year; equilibrium ≈ 38 200 fish
B. H_max = 6 000 fish per year; equilibrium ≈ 45 000 fish
C. H_max = 5 500 fish per year; equilibrium ≈ 42 000 fish
Correct Answer D. H_max = 5 000 fish per year; equilibrium ≈ 40 800 fish
Correct Answer
D
Correct Option:
H_max = 5 000 fish per year; equilibrium ≈ 40 800 fish

About This Question

This is Gce Model Questions Vol1 2021 Agricultural Science Question 35. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support