Abstract
Utility maximization policy is essential for the sustainability of the firms and organizations. In this article, two Lagrangian multipliers are used to perform the research successfully. Moreover, the paper takes attempts to run with four commodities and two constraints, such as budget constraint, and coupon constraint. In the study, both Hessian and Jacobian are used to show the mathematical calculations precisely and concisely. The sensitivity analysis among two commodities and one price unit of commodity are included in this paper for forecasting on the economic model during the utility maximization procedure.
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