Researchers studied how to optimize fertilizer use for finger millet in semi-arid soil. They created models for different levels of rainfall to determine the best amounts of nitrogen, phosphorus, and potassium. For soil with 750-1000 mm of rainfall, the ideal doses were 22-32 kg/ha of nitrogen, 10-49 kg/ha of phosphorus, and 12-22 kg/ha of potassium to achieve a sustainable yield of 3086 kg/ha. In another scenario with maize residue, the optimal doses were 0-70 kg/ha of nitrogen, 0-97 kg/ha of phosphorus, and 3-33 kg/ha of potassium for a yield of 4305 kg/ha.