Gce Model Questions Vol1 2022 Agricultural Science Question 10
Practice objective / multiple choice question 10 from the 2022 Gce Model Questions Vol1 Agricultural Science examination.
An extension programme promotes a pest‑resistant maize variety. Adoption follows the logistic model \(A(t)=\dfrac{K}{1+e^{-b(t-t_{0})}}\) where \(K=0.80\) (maximum proportion of farmers), \(b=0.30\) yr⁻¹ and \(t_{0}=3\) yr. The total farmer population is 10 000. The programme incurs a fixed cost of £1 000 000 and a variable cost of £20 for each farmer that adopts the variety. Each adopting farmer generates a net benefit of £250 per year, realised continuously. Assuming benefits accrue from the moment of adoption and are not limited in time, after how many whole years does the cumulative net benefit become positive (i.e., break‑even)? Show the calculations used to reach the answer.
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This is Gce Model Questions Vol1 2022 Agricultural Science Question 10. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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