Gce Model Questions Vol1 2019 Agricultural Science Question 20

Practice objective / multiple choice question 20 from the 2019 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2019 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 20 GCE_MODEL_QUESTIONS_VOL1 • 2019 • AGRICULTURAL_SCIENCE • objective

A lake supports a fish population that follows the logistic growth model \( \frac{dN}{dt}= rN\left(1-\frac{N}{K}\right) \) with intrinsic growth rate \( r = 0.4 \) year⁻¹ and carrying capacity \( K = 800{,}000 \) fish. A constant annual harvest H (fish year⁻¹) is imposed. (a) Derive the expression for the maximum sustainable yield (MSY) and the corresponding equilibrium population, (b) calculate the numerical values of the MSY (in fish per year) and the equilibrium population at MSY.

Answer Options

Correct Answer A. 80,000 fish per year; 400,000 fish
B. 60,000 fish per year; 300,000 fish
C. 100,000 fish per year; 500,000 fish
D. 80,000 fish per year; 300,000 fish
Correct Answer
A
Correct Option:
80,000 fish per year; 400,000 fish

About This Question

This is Gce Model Questions Vol1 2019 Agricultural Science Question 20. It is one of the objective questions from the 2019 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