Neco Model Questions Vol1 2020 Biology Question 23

Practice objective / multiple choice question 23 from the 2020 Neco Model Questions Vol1 Biology examination.

Neco Model Questions Vol1 2020 Biology Objective / Multiple Choice Hard Difficulty
Question 23 NECO_MODEL_QUESTIONS_VOL1 • 2020 • BIOLOGY • objective

In a lake, a fish population follows the logistic growth model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic growth rate \(r = 0.5\ \text{year}^{-1}\) and carrying capacity \(K = 20\,000\) fish. The population is initially \(N_0 = 5\,000\) fish. After two years, a constant harvest of \(H\) fish per year is introduced. (a) Determine the maximum sustainable harvest rate \(H_{\max}\) (in fish per year) that will allow the population to persist without extinction. (b) Under this maximum harvest, what is the equilibrium population size? Give your answers as whole numbers.

Answer Options

A. 2,800 fish per year; equilibrium population 9,000 fish
Correct Answer B. 2,500 fish per year; equilibrium population 10,000 fish
C. 3,000 fish per year; equilibrium population 8,000 fish
D. 2,000 fish per year; equilibrium population 12,000 fish
Correct Answer
B
Correct Option:
2,500 fish per year; equilibrium population 10,000 fish

About This Question

This is Neco Model Questions Vol1 2020 Biology Question 23. It is one of the objective questions from the 2020 Neco Model Questions Vol1 Biology examination.

Difficulty level: Hard .

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