Economic optimum in a bivariate Cobb-Douglas function: an application to semi-extensive beef farming
DOI:
https://doi.org/10.29312/remexca.v12i8.2915Keywords:
beef cattle, economic optimum, net income, semi-extensiveAbstract
The objective of this research is to determine the economic optimum when the production technology is such that the marginal product of an input is not separable from the use of other inputs. With field information from 51 producers of beef cattle under semi-extensive conditions, surveyed during February-July 2015, in the south of the State of Mexico and obeying a production simplification to two inputs to avoid expressions of marginal products not analytically treatable, the economic optimum for two inputs was obtained, concluding that the intensity of use of this optimum is greater than 30% of the average use in the sample.
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Acs, Z. J. and Audretsch, D. B. 1990. The economics of small firms: a European challenge. Studies in Industrial Organization. Springer Science & Bussiness Media. Kluwer Academic Publishers. Dordrecht, Netherlands. 227 p.
Albarrán, P. B.; Avilés, N. F.; García, M. A; Rebollar, R. S; Ortiz, R. A. y Salas, R. I. G. 2014. La producción de bovinos doble propósito en el trópico seco del centro de México y su contribución al desarrollo rural sustentable. Arriaga, J. C. M. y Anaya, O. J. P. (Coord.). Contribución de la producción animal en pequeña escala al desarrollo rural. 1a (Ed.). Reverté-UAEM. Barcelona, España. 101-118 pp.
Albarrán, P. B.; Rebollar, R. S.; García, M. A.; Rojo, R.; Avilés, N. F. and Arriaga, J. C. M. 2015. Socioeconomic and productive characterization of dual-purpose farms oriented to milk production in a subtropical region of Mexico. Tropical Animal Health and Production. 47(3):519-523. DOI: https://doi.org/10.1007/s11250-014-0753-8
Callejas, J. N.; Rebollar, R. S.; Ortega, G. J. M. y Domínguez, V. J. 2017. Parámetros bio-económicos de la producción intensiva de la carne de bovino en México. Rev. Mex. Cienc. Pec. 8(2):129-138. DOI: https://doi.org/10.22319/rmcp.v8i2.4415
Castellanos, P. M.; Martínez, G. A.; Colmenares, B. C.; Martínez, D. M. A. y Rendón, S. G. 2006. Región confidencial para el óptimo económico de una función de producción Cobb-Douglas. Agrociencia. 40(1):117-124.
Cochran, W. 1984. Técnicas de muestreo. 1a (Ed). SEC, SA. México, DF.
Chiang, A. C. 2006. Métodos fundamentales de economía matemática. 4a (Ed.). McGraw-Hill Interamericana de España. 688 p.
FAPRI. 2016. Food and Agricultural Policy Research Institute. Agricultural Outlook. http://www.fapri.iastate.edu/tools/outlook.aspx.6.
Gallant, A. R. 1987. Wiley series in probability and statistics. New York, USA. John Wiley & Sons. 610 p.
García, M. A.; Albarrán, P. B.; Rebollar, R. S. y Campuzano, N. C. 2014. La producción de bovinos para carne y su importancia en el desarrollo rural en el trópico seco del Estado de México. Arriaga, J. C. M. y Anaya, O. J. P. (Coords.). Contribución de la producción animal en pequeña escala al desarrollo rural. Primera Edición. Reverté-UAEM. Barcelona, España.119-137 pp.
Goodman L.A. 1961. Snowball Sampling. The annals of mathematical statistics.32(1):148-170. DOI: https://doi.org/10.1214/aoms/1177705148
Gujarati, D. N. y Porter, D. C. 2010. Econometría. 5a (Ed.). Mc Graw Hill Interamericana. México, DF. 537-540 pp.
Nguyen, S. V. and Lee, S. H. 2012. Returns to scale in small and large us. manufacturing establishments: further evidence. Small Business Economics. 19(1):41-50. DOI: https://doi.org/10.1023/A:1015714305990
Pech, M. V.; Santos, F. J. y Pérez, M. R. 2002. Función de producción de la ganadería de doble propósito de la zona oriente del estado de Yucatán, México. Téc. Pec. Méx. 40(2):187-192.
Puebla, A. S.; Rebollar, R. S.; Albarrán, P. B.; García, M. A. y Arriaga, J. C. M. 2015. Análisis técnico económico de sistemas de bovinos doble propósito en Tejupilco, Estado de México, en la época de secas. Investigación y Ciencia. 23(65):13-19.
Prajneshu. 2008. Fitting of Cobb-Douglas production functions: revisited. Agric. Econ. Res. Review. 21(2):289-292.
Rebollar, R. S.; Hernández, M. J.; Gómez, T. G.; Guzmán, S. E. y Callejas, J. N. 2016. Determinación de la isocuanta en producción de leche semi intensiva en una región del Estado de México. Ciencia Ergo Sum. 23(2):171-177.
Reynes, F. 2019. The Cobb-Douglas function as a flexible function: a new perspective on homogeneous functions through the lens of output elasticities. Mathematical Social Sciences. 97:11-17.
Rojo, R. R.; Vázquez, A. J. F.; Pérez, H. P.; Mendoza, M. G. D.; Salem, A. Z. M.; Albarrán, P. B.; González R. A.; Hernández, M. J.; Rebollar, R. S; Cardoso, J. D.; Dorantes, C. E. J. y Gutiérrez, C. J. G. 2009. Dual purpose cattle production in Mexico. Tropical Animal Health and Production. 41(5):715-721. DOI: https://doi.org/10.1007/s11250-008-9249-8
SAS Institute Inc. 2009. SAS/STAT 9.2 User’s Guide. Second Edition. Cary, NC USA: SAS Institute Inc.
SIAP. Sistema de Información Agroalimentaria y Pesquera. 2016. Ganadería. Base de datos pecuario. http://www.siap.gob.mx/ganaderia-resumen-estatal-pecuario/.
Torres-Hernández, A. F.; Brambila, P. and De-la-Vega, E. 2020. Fractional Newton-Raphson method and some variants for the solution of nonlinear systems. Appl. Mathematics Sci. Inter. J. 7(1):13-27.
Vences, P. J.; Nájera, G. A. L.; Albarrán, P. B.; Arriaga, J. C. M.; Rebollar, R. S. y García, M. A. 2015. Utilización del método IDEA para evaluar la sustentabilidad de la ganadería del Estado de México. Sustentabilidad productiva sectorial. Algunas evidencias de aplicación. 1a (Ed.). Universidad Autónoma del Estado de México. Toluca, México.15-40 pp.
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