Neco Model Questions Vol1 2020 Agricultural Science Question 40

An agricultural extension officer can use two methods to promote a new pest‑control technique to 1,200 farmers. Method 1: group meetings costing \(\text{₦}150\) per farmer, with each meeting able to accommodate up to 30 farmers. Method 2: a radio broadcast costing a flat \(\text{₦}20,000\) per broadcast; the broadcast reaches all 1,200 farmers but only 60 % of those who hear it adopt the technique. The officer wants at least 800 adopters at the lowest possible total cost. Assuming each farmer can attend at most one meeting and that the broadcast reaches all farmers regardless of meetings, determine the optimal combination of group meetings and radio broadcasts (number of meetings and number of broadcasts) and give the minimum total cost in naira.