Research on inventory optimization and profit maximization of chicken farms based on integer programming

With the continuous growth in global demand for meat and eggs, the livestock industry is becoming increasingly important in the agricultural economy. However, a critical issue that needs to be addressed is how to optimize the operational efficiency of farms and improve economic benefits through scientific methods under limited resources. This paper constructs a mathematical model for profit maximization in chicken farms based on integer programming theory. The model considers multiple factors, including chicken types, feed costs, and market prices, and uses the branch-and-bound method to determine the optimal number of chickens under different market conditions. The results show that reasonably adjusting the proportion of chickens in the farm according to current market prices can significantly increase the farms profit, providing important decision-making references for actual operations.