Use of linear programming model to determine the optimum cropping pattern: A case study of a model a2 farmer in Zimbabwe

Farmer's profit cannot be maximized without optimum cropping patterns, which ensure efficient utilization of available resources. Farmers often follow their instinct and experience to handle this problem. This does not guarantee optimal solutions. Linear programming is an effective technique that can address the resource allocation problem and produce optimal solutions. In this study a linear programming model was applied to calculate the crop acreage, production and income of a Model A2 farm in Zimbabwe. The study was conducted on 32.55 hectares of land of which 27.55 hectares is rain fed and 5 hectares is irrigated. Crops and livestock included were maize, potatoes and pigs. The results showed that rain fed maize gained acreage by 233%. The overall optimal crop acreage increased by 85%, while the income increased by 33% as compared to the farmer's plan.