Gce Model Questions Vol1 2020 Agricultural Science Question 45

An extension programme aims to promote a new high‑yielding maize variety. Two communication channels are available:\n\n1. Farmer field schools (FFS) - cost \(₦5{,}000\) per participant and achieve a \(70\%\) adoption rate among participants.\n2. Radio broadcast - a one‑time cost of \(₦200{,}000\) reaches \(10{,}000\) farmers, with a \(5\%\) adoption rate among listeners.\n\nThe total budget for the programme is \(₦1{,}000{,}000\). Assuming a farmer can be reached by only one channel, determine the optimal allocation of the budget between FFS participants and the radio broadcast to maximise the total number of adopters. State the number of farmers to enrol in FFS, whether the radio broadcast should be used, and the resulting total number of adopters.