Neco Model Questions Vol1 2024 Geography Question 10

A region receives an annual rainfall of \(800\) mm and has \(120\) kg ha\(^{-1}\) of nitrogen fertilizer available. Three crops are considered: - Crop X: potential yield \(4\) t ha\(^{-1}\), nitrogen requirement \(100\) kg ha\(^{-1}\), optimum rainfall \(600\)-\(900\) mm, pest loss \(10\%\) of yield. - Crop Y: potential yield \(5\) t ha\(^{-1}\), nitrogen requirement \(150\) kg ha\(^{-1}\), optimum rainfall \(700\)-\(1000\) mm, pest loss \(15\%\). - Crop Z: potential yield \(3.5\) t ha\(^{-1}\), nitrogen requirement \(80\) kg ha\(^{-1}\), optimum rainfall \(500\)-\(800\) mm, pest loss \(5\%\). Assuming rainfall is adequate for all crops, determine which crop will give the highest net yield after accounting for the fertilizer limitation and pest losses. Show all calculations.