Neco 2023 Agricultural Science Question 40

An extension officer is organising a 3‑day integrated pest‑management (IPM) training for 45 farmers. Costs are: venue \(\text{₦}15,000\) per day, trainer \(\text{₦}20,000\) per day, printed material \(\text{₦}500\) per farmer, meals \(\text{₦}500\) per farmer per day. She receives a grant of \(\text{₦}250,000\) and will set aside a contingency fund equal to 5\% of total direct costs.\n(a) Compute the total direct cost.\n(b) Compute the contingency amount.\n(c) What is the maximum amount she can spend on additional demonstration equipment while staying within the grant?\n(d) If each farmer is expected to gain \(\text{₦}12,000\) in income from the training, what is the minimum extra grant (in ₦) required so that, after allocating the maximum possible equipment cost, each farmer still obtains a net benefit of at least \(\text{₦}5,000\)?