Mynbaev, Kairat (1998): Profit Maximization and the Threshold Price.
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Abstract
If the output market is perfectly competitive and the firm’s production function is not concave, an increase in the output price may lead to an explosive increase in firm’s profits at some point. We explore the properties of this point, called a threshold price. We derive the formula for the threshold price under very general conditions and show how it helps to study correctness of the profit maximization problem, without explicit assumptions about returns to scale or convexity/concavity of the production function.
Item Type: | MPRA Paper |
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Original Title: | Profit Maximization and the Threshold Price |
Language: | English |
Keywords: | threshold price; profit maximization; production function; cost function; Cobb-Douglas function; returns to scale |
Subjects: | D - Microeconomics > D2 - Production and Organizations D - Microeconomics > D4 - Market Structure, Pricing, and Design |
Item ID: | 20323 |
Depositing User: | Kairat Mynbaev |
Date Deposited: | 30 Jan 2010 08:29 |
Last Modified: | 29 Sep 2019 00:51 |
References: | Färe, R. and S. Grosskopf, 1994, Cost and Revenue Constrained Production (Springer-Verlag, New York). First, Z., S. T. Hackman and U. Passy, 1993, Efficiency estimation and duality theory for nonconvex technologies, Journal of Mathematical Economics 22, 295-307. Martınez-Legaz, J. E., A. M. Rubinov and S. Schaible, 2005, Increasing quasiconcave co-radiant functions with applications in mathematical economics, Mathematical Methods of Operations Research 61, 261–280. Mynbaev, K., 1996, Production and cost functions in connection with internal economies of scale, Revista Econômica do Nordeste, 27, 805-831. Mynbaev, K., 1998, The profit function and threshold price (in Portuguese), in: 3o Encontro Regional de Economia, Revista Econômica do Nordeste, v. 29, Número especial, (Fortaleza, Ceara) 967-975. Shephard, R.W., 1970, Theory of cost and production functions (Princeton University Press, Princeton, New Jersey). |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/20323 |