Neco 2021 Agricultural Science Question 48

Practice objective / multiple choice question 48 from the 2021 Neco Agricultural Science examination.

Neco 2021 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 48 NECO • 2021 • AGRICULTURAL_SCIENCE • objective

A pine stand follows the logistic volume model \(V(t)=\dfrac{K}{1+ae^{-bt}}\) (m³ ha⁻¹), where \(K=200\), \(a=9\) and \(b=0.08\) (t in years). The forest covers 10 ha. At harvest age \(T\) (years) the timber is sold at $30 per m³ and a re‑planting cost of $2 000 per ha is incurred immediately after harvest. The discount rate is 5 % per annum. Assuming the whole stand is harvested at a single age \(T\) (an integer), determine the harvest age that maximises the net present value (NPV) of the rotation and give the corresponding NPV (rounded to the nearest dollar).

Answer Options

A. Harvest at T = 45 years gives the maximum NPV of approximately $3,100
B. Harvest at T = 50 years gives the maximum NPV of approximately $2,800
C. Harvest at T = 35 years gives the maximum NPV of approximately $2,950
Correct Answer D. Harvest at T = 40 years gives the maximum NPV of approximately $3,230
Correct Answer
D
Correct Option:
Harvest at T = 40 years gives the maximum NPV of approximately $3,230

About This Question

This is Neco 2021 Agricultural Science Question 48. It is one of the objective questions from the 2021 Neco Agricultural Science examination.

Difficulty level: Hard .

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