Gce Model Questions Vol1 2023 Agricultural Science Question 35

Practice objective / multiple choice question 35 from the 2023 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2023 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 35 GCE_MODEL_QUESTIONS_VOL1 • 2023 • AGRICULTURAL_SCIENCE • objective

A mixed plantation contains teak and mahogany, each starting at a volume of 5 m³ ha⁻¹. Their natural growth follows \(V_{t}=V_{0}e^{rt}\) with \(r_{\text{teak}}=0.08\) yr⁻¹ and \(r_{\text{mahogany}}=0.05\) yr⁻¹. Over a 10‑year period the manager wishes to harvest a total of 30 m³ ha⁻¹, split equally between the two species, while ensuring that after any harvest the standing volume of each species is at least 80 % of the volume it would have had without harvesting. What is the maximum amount (in m³ ha⁻¹) that can be harvested from each species in year 5 without violating the 80 % rule?

Answer Options

A. Teak 1.55 m³ ha⁻¹, Mahogany 1.22 m³ ha⁻¹
Correct Answer B. Teak 1.49 m³ ha⁻¹, Mahogany 1.28 m³ ha⁻¹
C. Teak 1.35 m³ ha⁻¹, Mahogany 1.40 m³ ha⁻¹
D. Teak 1.62 m³ ha⁻¹, Mahogany 1.15 m³ ha⁻¹
Correct Answer
B
Correct Option:
Teak 1.49 m³ ha⁻¹, Mahogany 1.28 m³ ha⁻¹

About This Question

This is Gce Model Questions Vol1 2023 Agricultural Science Question 35. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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