Optimization and Constraint Satisfaction of Production Function in Industrial Organisation

Abstract

Recently businessmen, as well as industrialists, have been very much concerned about the theory of firm in order to make correct decisions regarding what item, how much and how, the quality of material and technological improvement also. The production function is formulated as a non-linear problem in the study whereby optimality is determined using KKT conditions and this approach has been demonstrated through theoretical analysis. These findings emphasize the significance of non-linearity in production models and thus contribute to better strategies of production management. The aim of this paper is to de-velop and use deterministic simulation models to analyze, improve, and optimize manufacturing process-es in industrial organization. The purpose of this study is to enhance our understanding of production dy-namics, as well as create deterministic simulation models for analyzing and optimizing production func-tions across industrial environments with an eye on fulfilling the constraint's satisfaction.