Planting Scheme Design Method Based on Linear Programming Model

Abstract

To optimize precision agriculture implementation and foster the sustainable growth of rural economies, this study proposes a method for designing crop planting schemes based on a linear programming model. First, a linear programming model is developed to define decision variables that meet specified constraints. Two objective functions are established: surplus yield beyond sales remains unsold, and surplus yield is sold at half price. Second, the model incorporates five key constraints: land area limitations, plot constraints, crop adaptability, continuous cropping restrictions, and other relevant factors. Third, based on existing farmland conditions, crop characteristics in a rural village in the North China mountainous region, and statistical data on rural crop planting in 2023, data preprocessing is performed. The model is then solved through simulation verification. The results yield two planting schemes and their corresponding profits for the next decade. Under the first scheme, the projected average total profit from 2024 to 2030 is 6,052,184.19 CNY, while the second scheme yields an average total profit of 8,564,127.26 CNY over the same period. Ultimately, the optimal planting scheme is identified, ensuring maximum profitability while considering the natural conditions of plots and crops.