Research on the Optimal Profit of Planting Schemes Based on 0-1 Programming Model

This paper focuses on the limited arable land resources in a rural area of the mountainous region in North China, studying the planting schemes of crops and calculating the maximum profit. Based on the planting and sales situation in 2023, this paper is divided into two categories: the price and sales situation of each crop in the future remain stable as in 2023; and considering market changes and yield changes to study the maximum profit of crop planting from 2024 to 2030. By establishing a 0-1 programming model and using Monte Carlo simulation to predict the total output of various crops from 2024 to 2030, the profit of this planting scheme is calculated under the premise of maximizing the profit of each year's planting scheme. Through simulation, the annual economic benefit is more than 20 million yuan. This study can not only provide scientific decision support for crop cultivation in rural mountainous areas of North China, but also provide theoretical reference for agricultural resource allocation in other similar areas.