Neco 2024 Geography Question 49

A farmer has 120 ha of land to allocate between maize and soybean. - Maize yield = 3.2 t/ha, market price = \(\text{₦}150{,}000\) per ton, requires 120 kg N per ha. Fertiliser cost = \(\text{₦}500\) per kg N. - Soybean yield = 2.5 t/ha, market price = \(\text{₦}200{,}000\) per ton, fixes atmospheric N (no fertiliser needed). - The farmer possesses 12,000 kg of nitrogen fertiliser. - At least 30 % of the total area must be planted to soybean. - The local market can absorb at most 80 ha of soybean. - The farm employs 120 workers; labour cost is the same for both crops and therefore does not affect the choice. Determine the allocation of land (ha of maize and ha of soybean) that maximises the farmer's net profit, and state the maximum net profit (in \(\text{₦}\), rounded to the nearest thousand).