Waec Model Questions Vol1 2022 Agricultural Science Question 9

Practice objective / multiple choice question 9 from the 2022 Waec Model Questions Vol1 Agricultural Science examination.

Waec Model Questions Vol1 2022 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 9 WAEC_MODEL_QUESTIONS_VOL1 • 2022 • AGRICULTURAL_SCIENCE • objective

A forest plantation of species X has a volume‑growth function V(t) = 0.05t³ - 0.9t² + 12t (m³ ha⁻¹), where t is the age in years (0 ≤ t ≤ 30). The timber price is ₦500 per m³ and the planting‑site‑preparation cost is ₦15 000 per hectare, incurred at the start of each rotation. The discount rate is 10 % per annum. Determine the integer rotation age T (in years) that maximizes the land expectation value (LEV). Give the optimal T, the timber volume at that age, and the LEV rounded to the nearest thousand naira.

Answer Options

A. Optimal rotation age = 20 years; volume = 600 m³ ha⁻¹; LEV ≈ ₦9 500 000
B. Optimal rotation age = 28 years; volume = 850 m³ ha⁻¹; LEV ≈ ₦11 000 000
Correct Answer C. Optimal rotation age = 30 years; volume = 900 m³ ha⁻¹; LEV ≈ ₦11 500 000
D. Optimal rotation age = 25 years; volume = 800 m³ ha⁻¹; LEV ≈ ₦10 200 000
Correct Answer
C
Correct Option:
Optimal rotation age = 30 years; volume = 900 m³ ha⁻¹; LEV ≈ ₦11 500 000

About This Question

This is Waec Model Questions Vol1 2022 Agricultural Science Question 9. It is one of the objective questions from the 2022 Waec Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

View More Waec Model Questions Vol1 2022 Agricultural Science Questions More Waec Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support