Abstract
Every local or global firm expects to achieve maximum profit for its survival in sustainable economic environment. This article considers that a local industrial firm of Bangladesh has achieved maximum profit during its total operation. So that this study directly tries to calculate maximum profit and also Lagrange multiplier for profit maximization investigation by the consideration of nonlinear budget constraint. In this study Cobb-Douglas production function is considered as profit function to operate mathematical procedures. Method of Lagrange multiplier is also applied here to obtain accurate results.
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