Waec Model Questions Vol1 2025 Agricultural Science Question 25

An extension officer wants to disseminate a new pest‑management technique to 120 smallholder farmers. Two communication channels are available: (i) group demonstrations costing ₦8,000 per session and reaching up to 15 farmers per session; (ii) radio broadcasts costing ₦12,000 per broadcast and reaching an estimated 40 farmers per broadcast. The officer has a budget of ₦100,000 and wants at least 90 % of the farmers (i.e., 108 farmers) to receive the information, with each farmer reached by at least one channel. Assuming the audiences of the two channels do not overlap, determine the minimum total number of activities (sessions + broadcasts) required, and give the optimal allocation of sessions and broadcasts that meets the budget and coverage constraints while minimizing total cost.