Gce Model Questions Vol1 2025 Agricultural Science Question 24

Practice objective / multiple choice question 24 from the 2025 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2025 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 24 GCE_MODEL_QUESTIONS_VOL1 • 2025 • AGRICULTURAL_SCIENCE • objective

The diffusion of a new agricultural extension technology among farmers can be modelled by the Bass model: \(f(t) = \bigl(p + q\,\frac{Y(t)}{M}\bigr)\bigl(M - Y(t)\bigr)\), where \(p\) is the coefficient of innovation, \(q\) the coefficient of imitation, \(M\) the total market potential, and \(Y(t)\) the cumulative adopters at the end of year \(t\). Given \(p = 0.02\), \(q = 0.38\), \(M = 10{,}000\) farmers, and \(Y(3) = 2{,}500\) farmers, estimate: (a) the number of new adopters in year 4, and (b) the cumulative adoption percentage at the end of year 4.

Answer Options

Correct Answer A. New adopters ≈ 863; Cumulative adoption ≈ 3,363 farmers (33.6 %)
B. New adopters ≈ 750; Cumulative adoption ≈ 3,200 farmers (32.0 %)
C. New adopters ≈ 800; Cumulative adoption ≈ 3,100 farmers (31.0 %)
D. New adopters ≈ 950; Cumulative adoption ≈ 3,500 farmers (35.0 %)
Correct Answer
A
Correct Option:
New adopters ≈ 863; Cumulative adoption ≈ 3,363 farmers (33.6 %)

About This Question

This is Gce Model Questions Vol1 2025 Agricultural Science Question 24. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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