Gce Model Questions Vol1 2018 Agricultural Science Question 47

An extension officer has a total budget of N 250 000 for a farmer‑training programme. The programme can use three types of activities:\n\n- A combined workshop‑demonstration session costing N 6 000 and reaching 20 distinct farmers.\n- A workshop‑only session costing N 2 500 and reaching 12 farmers.\n- A demonstration‑only session costing N 5 000 and reaching 15 farmers.\n\nThe officer must organise at least 10 workshops in total and at least 8 demonstrations in total (a combined session counts as both a workshop and a demonstration). Moreover, the total number of distinct farmers reached must be at least 200, assuming no farmer attends more than one activity.\n\nDetermine the numbers of combined, workshop‑only and demonstration‑only sessions that satisfy all constraints at minimum total cost. Then compute the minimum total cost and the expected number of adopters if the adoption rate is projected to be 60 % of those reached.