A county extension service has a total budget of ₦800,000 for a three‑year farmer‑training programme. Each farmer workshop costs ₦2,500 per farmer plus a fixed overhead of ₦30,000 per year. In the first year the service must train at least 150 farmers directly. Every farmer trained in a given year is expected to train two new farmers in the next year (cascade effect). The programme also aims that at least 80\% of all farmers trained over the three years adopt a new improved seed variety that costs ₦150 per farmer. Determine the maximum number of farmers that can be trained over the three years without exceeding the budget, and state whether the 80\% adoption target can be met.

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Maximum directly‑trained farmers in year 1 = 212, giving a total of 1,484 farmers trained over three years; the 80\% adoption target (at least 1,188 adopters) can be met.

Neco 2025 Agricultural Science Question 41

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