Mathematical Model for Nonlinear Budget Constraint: Economic Activities on Increased Budget

Abstract

In this study economic predictions of the various inputs are analyzed when the budget of the organization increases. Method of Lagrange multiplier is applied here to work with nonlinear budget constraint for the achievement of the profit maximization atmosphere. In the study 6×6 bordered Hessian matrix and 6×6 Jacobian matrix are also operated for the prediction of economic analysis. In mathematical economics, efficient and wise decisions can provide profit maximization setting, which is essential for the sustainability of the industrial organizations.