Abstract:

This research paper presents a linear programming (LP) approach to optimize production processes in the plastic industry in Himachal Pradesh, India. The study addresses the challenges of resource allocation, cost minimization, and waste reduction in a region known for its growing industrial base and environmental concerns. By formulating a mathematical model that incorporates production constraints, material availability, labor, and energy costs, we aim to maximize profitability while adhering to sustainable practices. The model is validated using data from a representative plastic manufacturing unit in Himachal Pradesh, demonstrating significant improvements in production efficiency and cost savings. Sensitivity analysis is conducted to assess the robustness of the model under varying economic and operational conditions. The findings suggest that LP techniques can enhance resource utilization, reduce environmental impact, and support the region’s industrial growth. This study contributes to the literature on operations research applications in regional industrial contexts and provides actionable insights for policymakers and industry stakeholders.

Keywords:

Linear Programming, Production Optimization, Plastic Industry, Himachal Pradesh, Resource Allocation, Sustainability

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Methods