Application of Linear Programming for Efficient Resource Allocation in Agriculture: A Case Study of Tiruchirappalli District

In the complex domain of real-world farm planning, agricultural decision-makers are continually confronted with a myriad of interconnected challenges, particularly in water management, crop selection, the determination of optimal crop combinations, and the effective implementation of advanced agricultural techniques to boost production and ensure sustainability. These operational hurdles are not faced in isolation; they are deeply intertwined with broader concerns of socio-economic development, such as farmer livelihoods and regional food security, and are often intensified by significant resource scarcity, especially in arid and semi-arid regions. To address these critical issues, the robust mathematical framework of linear programming (LP) offers a powerful solution, providing a systematic methodology to optimize farm returns by ensuring the most efficient allocation of available, limited resources. The primary objective of this study is to develop a linear programming model tailored to the specific agricultural context of Tiruchirappalli District, Tamil Nadu. This model is designed to identify the optimal crop combination from a set of feasible alternatives and to determine precisely how critical resources—such as land and water—can be allocated to enhance overall productivity for the farming community. The comprehensive analysis was carried out using Linear Optimization Techniques, and the resultant model was formulated and solved using the specialized LINGO software to derive a practical, actionable, and data-driven solution for the district's agricultural stakeholders. The analysis reveals that the optimal resource allocation strategy can yield a maximum achievable productivity of 786,151,300 kg for the major crops in the district.