Pahlaj, Moolio and Islam, Jamal and Mohajan, Haradhan (2008): Output Maximization of an Agency. Published in: Indus Journal of Management & Social Sciences , Vol. 3, No. 1 (20 April 2009): pp. 39-51.
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Abstract
Considering Cobb-Douglas function in three variables as an explicit form of production function, in this paper an attempt has been made to maximize an output subject to a budget constraint, using Lagrange multipliers technique, as well as necessary and sufficient conditions for optimal value have been applied. We gave interpretation of Lagrange multiplier in this specific illustration, showing its positive value, and examined the behavior of the agency.
Item Type: | MPRA Paper |
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Original Title: | Output Maximization of an Agency |
English Title: | Output Maximization of an Agency |
Language: | English |
Keywords: | Lagrange Multipliers; Economic Problems; Maximizing Output Function; Budget Constraints; Explicit Examples. |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis |
Item ID: | 50666 |
Depositing User: | Haradhan Kumar Mohajan |
Date Deposited: | 19 Oct 2013 08:29 |
Last Modified: | 12 Oct 2019 18:10 |
References: | Baxley, J. V. and Moorhouse, J. C. 1984. Lagrange Multiplier Problems in Economics. The American Mathematical Monthly, 91(7): 404-412 (Aug. – Sep). Chiang, A.C. 1984. Fundamental Methods of Mathematical Economics. 3rd ed. Singapore: McGraw-Hill. Humphery, T.M. 1997. Algebraic Production Functions and Their Uses before Cobb- Douglas. Federal Reserve Bank of Richmond Economic Quarterly, 83 (1) winter. Islam, J. N. 1997. Aspects of Mathematical Economics and Social Choice Theory. Proceedings of the Second Chittagong Conference on Mathematical Economics and its Relevance for Development. Ed. J. N. Islam, Chittagong: University of Chittagong, Bangladesh. Islam, J. N. 2008. An Introduction to Mathematical Economics and Social Choice Theory, (book to appear). Pahlaj M. 2002. Theory and Applications of Classical Optimization to Economic Problems. M. Phil. Thesis. Chittagong: University of Chittagong, Bangladesh. Pahlaj M. and J.N. Islam. 2008. Cost Minimization of a Competitive Firm. Indus Journal of Management and Social Sciences, 2(2):148-160 (Fall 2008). |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/50666 |