Gce Model Questions Vol1 2022 Agricultural Science Question 49

Practice objective / multiple choice question 49 from the 2022 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2022 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 49 GCE_MODEL_QUESTIONS_VOL1 • 2022 • AGRICULTURAL_SCIENCE • objective

A teak plantation occupies 10 ha. Stand volume per hectare follows the logistic model \(V(t)=\frac{K}{1+a e^{-b t}}\) with \(K=200\ \text{m}^3\text{ha}^{-1}\), \(a=9\) and \(b=0.08\ \text{yr}^{-1}\), where \(t\) is age in years. The manager wants the rotation age that maximises the average annual increment (AAI) defined as \(\text{AAI}=V(t)/t\). (i) Determine the rotation age (nearest whole year) that gives the maximum AAI. (ii) Calculate the maximum AAI value (m³ ha⁻¹ yr⁻¹) at that age (to two decimal places).

Answer Options

A. 36 years; 3.68 m³ ha⁻¹ yr⁻¹
B. 30 years; 3.45 m³ ha⁻¹ yr⁻¹
Correct Answer C. 34 years; 3.70 m³ ha⁻¹ yr⁻¹
D. 32 years; 3.55 m³ ha⁻¹ yr⁻¹
Correct Answer
C
Correct Option:
34 years; 3.70 m³ ha⁻¹ yr⁻¹

About This Question

This is Gce Model Questions Vol1 2022 Agricultural Science Question 49. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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