Neco 2023 Geography Question 11

A farmer has 12 ha of land to allocate between maize and cassava. Maize yields \(3.2\) t/ha and sells for \(45{,}000\) Naira per ton; its production cost is \(30{,}000\) Naira per ha. Cassava yields \(20\) t/ha and sells for \(12{,}000\) Naira per ton; its production cost is \(20{,}000\) Naira per ha. The government offers a 25% fertilizer subsidy for maize if the area planted to maize exceeds \(4\) ha, reducing the maize cost per ha to \(22{,}500\) Naira. A processing plant pays a bonus of \(5{,}000\) Naira per ton of cassava if total cassava production exceeds \(150\) t. At least \(2\) ha must be allocated to each crop. Determine the allocation (ha of maize and ha of cassava) that maximises net profit and state the maximum net profit.