Neco Model Questions Vol1 2017 Agricultural Science Question 28

Practice objective / multiple choice question 28 from the 2017 Neco Model Questions Vol1 Agricultural Science examination.

Neco Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 28 NECO_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

A lake fish population follows the logistic growth model \(\frac{dP}{dt}=rP\left(1-\frac{P}{K}\right)\) where \(r=0.5\) year⁻¹ and the carrying capacity \(K=80{,}000\) fish. The fishery harvests a constant number \(H\) fish each year.\n(a) Find the maximum constant harvest \(H_{\max}\) that can be sustained without driving the population to extinction.\n(b) What is the equilibrium population size when this maximum harvest is applied?

Answer Options

A. Hₘₐₓ = 12,000 fish per year; equilibrium population = 30,000 fish
Correct Answer B. Hₘₐₓ = 10,000 fish per year; equilibrium population = 40,000 fish
C. Hₘₐₓ = 8,000 fish per year; equilibrium population = 45,000 fish
D. Hₘₐₓ = 9,500 fish per year; equilibrium population = 35,000 fish
Correct Answer
B
Correct Option:
Hₘₐₓ = 10,000 fish per year; equilibrium population = 40,000 fish

About This Question

This is Neco Model Questions Vol1 2017 Agricultural Science Question 28. It is one of the objective questions from the 2017 Neco 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