Neco Model Questions Vol1 2023 Agricultural Science Question 48

A soil test of a field shows the following nutrient concentrations: nitrogen \(20\text{ ppm}\), phosphorus \(10\text{ ppm}\) (as P), and potassium \(15\text{ ppm}\). The target concentrations are nitrogen \(60\text{ ppm}\), phosphorus \(30\text{ ppm}\), and potassium \(40\text{ ppm}\). Assume the soil mass per hectare is \(2\,000\,000\text{ kg}\). The farmer plans to apply diammonium phosphate (DAP) containing \(20\%\) N and \(46\%\) P\(_2\)O\(_5\) (where \(1\text{ kg P}_2\text{O}_5 = 0.44\text{ kg P}\)) and muriate of potash (MOP) containing \(60\%\) K\(_2\)O (where \(1\text{ kg K}_2\text{O}=0.83\text{ kg K}\)). The efficiencies of nutrient use are \(80\%\) for N, \(80\%\) for P, and \(75\%\) for K. Calculate the amounts of DAP and MOP (in kg per hectare) required to meet the target nutrient levels.