Gce Model Questions Vol1 2018 Agricultural Science Question 28

Practice objective / multiple choice question 28 from the 2018 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2018 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 28 GCE_MODEL_QUESTIONS_VOL1 • 2018 • AGRICULTURAL_SCIENCE • objective

A lake fish population follows the logistic growth model \(\dfrac{dN}{dt}=rN\left(1-\dfrac{N}{K}\right)\) with intrinsic growth rate \(r=0.5\) yr⁻¹ and carrying capacity \(K=200\,000\) fish. The fishery harvests a constant number \(H\) fish each year.\n\n(i) Determine the value of \(H\) that gives the maximum sustainable yield (MSY).\n(ii) Find the equilibrium population size when the fishery operates at this MSY level.\n(iii) If the average weight of a fish is 0.8 kg, express the annual sustainable yield in tonnes.

Answer Options

A. H = 25 000 fish yr⁻¹; equilibrium N = 150 000 fish; annual sustainable yield = 30 tonnes
B. H = 30 000 fish yr⁻¹; equilibrium N = 120 000 fish; annual sustainable yield = 24 tonnes
Correct Answer C. H = 25 000 fish yr⁻¹; equilibrium N = 100 000 fish; annual sustainable yield = 20 tonnes
D. H = 20 000 fish yr⁻¹; equilibrium N = 80 000 fish; annual sustainable yield = 16 tonnes
Correct Answer
C
Correct Option:
H = 25 000 fish yr⁻¹; equilibrium N = 100 000 fish; annual sustainable yield = 20 tonnes

About This Question

This is Gce Model Questions Vol1 2018 Agricultural Science Question 28. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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