Gce Model Questions Vol1 2023 Agricultural Science Question 9
Practice objective / multiple choice question 9 from the 2023 Gce Model Questions Vol1 Agricultural Science examination.
The volume of a stand of a fast‑growing tree species follows the logistic model \[ V(t) = \frac{K}{1 + a e^{-rt}} \] where \(V\) is the standing volume in m³ ha⁻¹, \(K = 200\) m³ ha⁻¹, \(r = 0.08\) yr⁻¹ and at time \(t = 0\) the volume is \(20\) m³ ha⁻¹.\n(a) Determine the constant \(a\).\n(b) Using the logistic growth, the maximum sustainable annual harvest per hectare (the maximum constant harvest that can be taken indefinitely) occurs at half the carrying capacity. Calculate this maximum sustainable harvest \(H_{max}\) in m³ ha⁻¹ yr⁻¹.
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This is Gce Model Questions Vol1 2023 Agricultural Science Question 9. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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