Gce Model Questions Vol1 2023 Agricultural Science Question 34

Practice objective / multiple choice question 34 from the 2023 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2023 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 34 GCE_MODEL_QUESTIONS_VOL1 • 2023 • AGRICULTURAL_SCIENCE • objective

An extension officer introduces a new pest‑resistant maize variety. Adoption data collected over the first year are: after 3 months 15 % of farmers have adopted, after 6 months 35 %, after 9 months 55 %, and after 12 months 70 %. Assuming adoption follows the logistic model \(A(t)=\frac{K}{1+e^{-b(t-t_{0})}}\) with a maximum adoption \(K=100\) %, determine the inflection point time \(t_{0}\) (in months) and the coefficient \(b\).

Answer Options

A. t₀ ≈ 8 months, b ≈ 0.28
B. t₀ ≈ 7 months, b ≈ 0.30
Correct Answer C. t₀ ≈ 8.5 months, b ≈ 0.244
D. t₀ ≈ 9 months, b ≈ 0.20
Correct Answer
C
Correct Option:
t₀ ≈ 8.5 months, b ≈ 0.244

About This Question

This is Gce Model Questions Vol1 2023 Agricultural Science Question 34. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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