Gce Model Questions Vol1 2022 Agricultural Science Question 34

Practice objective / multiple choice question 34 from the 2022 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2022 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 34 GCE_MODEL_QUESTIONS_VOL1 • 2022 • AGRICULTURAL_SCIENCE • objective

A forest stand follows logistic growth described by \(\frac{dV}{dt}=rV\left(1-\frac{V}{K}\right)\), where \(V\) is timber volume (m³ ha^{-1}), \(r=0.08\) yr^{-1} and the carrying capacity \(K=200\) m³ ha^{-1}. Currently the stand is at \(V_{0}=120\) m³ ha^{-1}.\n\n(a) What is the maximum constant annual harvest \(H_{max}\) (m³ ha^{-1} yr^{-1}) that can be sustained indefinitely?\n(b) If no harvest is taken, how many years will it take for the stand to reach \(V=150\) m³ ha^{-1}? Give your answer to one decimal place.

Answer Options

A. H_max = 4 m³ ha⁻¹ yr⁻¹; time ≈ 10.2 years
B. H_max = 5 m³ ha⁻¹ yr⁻¹; time ≈ 9.3 years
Correct Answer C. H_max = 4 m³ ha⁻¹ yr⁻¹; time ≈ 8.7 years
D. H_max = 3 m³ ha⁻¹ yr⁻¹; time ≈ 7.5 years
Correct Answer
C
Correct Option:
H_max = 4 m³ ha⁻¹ yr⁻¹; time ≈ 8.7 years

About This Question

This is Gce Model Questions Vol1 2022 Agricultural Science Question 34. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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