Gce Model Questions Vol1 2024 Agricultural Science Question 13

Practice objective / multiple choice question 13 from the 2024 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2024 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2024 • AGRICULTURAL_SCIENCE • objective

An 100‑ha forest is managed for timber. At the end of a 25‑year rotation each hectare yields 120 m³ of timber. The market price of timber is N 180 m³⁻¹ and a re‑planting cost of N 2 500 ha⁻¹ is incurred at harvest. The discount rate is 6 % per annum. An alternative annual cash‑crop can generate a profit of N 5 000 ha⁻¹ each year for the same 25 years. Using the present‑value formula \(PV = \dfrac{R}{(1+r)^t}\) for a single future cash flow and \(PV_{annuity}=P\frac{1-(1+r)^{-n}}{r}\) for an annuity, determine which option gives the higher present value per hectare.

Answer Options

Correct Answer A. The annual cash‑crop yields the higher present value (≈ N 63 915 ha⁻¹) compared with the timber rotation (≈ N 4 452 ha⁻¹).
B. The timber rotation yields the higher present value (≈ N 5 200 ha⁻¹) compared with the annual cash‑crop (≈ N 60 000 ha⁻¹).
C. The annual cash‑crop yields the higher present value (≈ N 58 000 ha⁻¹) compared with the timber rotation (≈ N 4 500 ha⁻¹).
D. The timber rotation yields the higher present value (≈ N 5 000 ha⁻¹) compared with the annual cash‑crop (≈ N 63 000 ha⁻¹).
Correct Answer
A
Correct Option:
The annual cash‑crop yields the higher present value (≈ N 63 915 ha⁻¹) compared with the timber rotation (≈ N 4 452 ha⁻¹).

About This Question

This is Gce Model Questions Vol1 2024 Agricultural Science Question 13. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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