Abstract
This article tries to discuss profit maximization policies by using four variable inputs, such as capital, labor, principal raw materials, and other inputs in an industry, where mathematical economic models are applied by considering budget constraint. For the sustainable production, every industry should apply scientific method, such as mathematical techniques to obtain more accurate results. In the study Cobb-Douglas production function is analyzed with detail mathematical analysis. The sensitivity analysis is included in the operation to show profit maximization that is a pivotal goal of the industry. The economic predictions of future production are provided through the comparative statics to become sure of profit maximization before starting of production in the industry. In the study Lagrange multiplier technique is applied to achieve optimal result in every step of industrial operation.
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