Mathematical model to determine the profitability of crops in the state of Hidalgo

Authors

DOI:

https://doi.org/10.33448/rsd-v15i3.50771

Keywords:

Crop profitability, Optimization models, Agricultural producers.

Abstract

The agricultural sector in the state of Hidalgo faces several challenges stemming from price volatility and the decline in trade agreements related to barley production, a crop closely linked to the brewing industry. Given this context, the objective of this study is to evaluate the profitability of alternative crops to barley that can support agricultural producers' decision-making. To this end, moving average and simple exponential smoothing forecasting models were applied to estimate the annual production of barley, oats, sorghum, and wheat, as well as an optimization model based on linear programming, considering constraints on agricultural land availability, seed availability, and investment amount. The proposed model was solved using Lingo 19.0 software and applied to representative municipalities in the state of Hidalgo, primarily those located in the Altiplano hidalguense. The results obtained indicate that crops such as sorghum and oats represent viable and profitable alternatives for the study region, due to their low production costs and their good adaptation to the region's climatic and irrigation conditions, without completely ruling out barley production in those municipalities where it remains strategic. It is concluded that the use of optimization tools is useful in supporting decision-making to improve the profitability of agricultural production in the highlands, allowing for a reduction in dependence on a single crop and mitigating the risks associated with market uncertainty.

References

Arias-Collaguazo, W. M., Castro-Morales, L. G., Maldonado-Gudiño, C. W., & Burbano-García, L. H. (2021). Análisis del modelo de optimización aplicado a la producción agrícola en la Asociación del Gobierno Autónomo Parroquial de Cahuasqui. Dilemas contemporáneos: educación, política y valores, 8(3).

Boghi, C. y Shitsuka, R. (2005). Aplicaciones prácticas con Microsoft Office Excel 2003 / Solver. Editora Érica.

Cámara de Diputados. (2025, 22 de abril). Minuta 027. Proyecto de decreto por el que se expide la Ley de Desarrollo Sustentable de la Cafeticultura (Oficio DGPL2P1A3072). https://www.diputados.gob.mx/LeyesBiblio/senclave/66/CS-LXVI-I-2P-27/01_minuta_027_22abr25.pdf

Céspedes-Sabogal, E. S. (2019). Modelo de optimización para la producción y comercialización de productos agrícolas en Colombia.

Chase, OA, Almeida, JFS y Morais, EC (2021). Programação matemática: optimización lineal y no lineal. Editora Dialétrica. ISBN-13: 978-6525201252.

Chopra, S., & Meindl, P. (2013). Supply chain management: Strategy, planning, and operation (5th ed.). Pearson Education.

Fideicomisos Instituidos en Relación con la Agricultura (FIRA). (2022). Avena BMF Chihuahua OI 2022–2023 [PDF]. https://www.fira.gob.mx/InfEspDtoXML/abrirArchivo.jsp?abreArc=102438

Fideicomisos Instituidos en Relación con la Agricultura (FIRA). (2024). Trigo GMF Coahuila de Zaragoza OI 2024–2025 [PDF]. https://www.fira.gob.mx/InfEspDtoXML/abrirArchivo.jsp?abreArc=124717

Fideicomisos Instituidos en Relación con la Agricultura (FIRA). (2025a). Cebada TMF Hidalgo PV 2025 [PDF]. https://www.fira.gob.mx/InfEspDtoXML/abrirArchivo.jsp?abreArc=126014

Fideicomisos Instituidos en Relación con la Agricultura (FIRA). (2025b). Sorgo TMF Puebla PV 2025 [PDF]. https://www.fira.gob.mx/InfEspDtoXML/abrirArchivo.jsp?abreArc=127628

Hartwich, F., & Kormawa, P. (2009). Value chain diagnostics for industrial development. United Nations Industrial Development Organization.

Heizer, J., Render, B., & Munson, C. (2020). Principios de Administración de Operaciones (12.ª ed.). Pearson: Estados Unidos.

Hillier, F. S., & Lieberman, G. J. (2010). Introducción a la investigación de operaciones (9.ª ed.). McGraw-Hill: Estados Unidos.

Hyndman, R. J., & Athanasopoulos, G. (2018). Forecasting: Principles and practice (2nd ed.). OTexts: Australia.

Instituto Nacional de Estadística y Geografía. (2019). Conociendo la industria de la cerveza. INEGI. https://www.inegi.org.mx/tablerosestadisticos/industria_cerveza/#Informacion_general

Instituto Nacional de Estadística y Geografía. (2021). Conociendo la industria de la cerveza (Colección de estudios sectoriales y regionales). https://www.inegi.org.mx/contenido/productos/prod_serv/contenidos/espanol/bvinegi/productos/nueva_estruc/702825198428.pdf

Kaplinsky, R., & Morris, M. (2016). Thinning and thickening: Productive sector policies in the era of global value chains. European Journal of Development Research, 28, 625–645. https://doi.org/10.1057/ejdr.2015.29

Lu, S., Liu, Y. S., Long, H. L., & Guan, X. L. (2013). Agricultural production structure optimization: a case study of major grain producing areas, China.

Montoya, R. (2025, 4 de mayo). Productores de Hidalgo y Modelo fijan precio de cebada; finaliza conflicto. La Jornada. https://www.jornada.com.mx/noticia/2025/05/04/estados/productores-de-hidalgo-y-modelo-fijan-precio-precio-de-cebada-finaliza-conflicto

Osaki, M., & Batalha, M. O. (2014). Optimization model of agricultural production system in grain farms under risk, in Sorriso, Brazil. Agricultural Systems, 127, 178-188.

Pereira AS et al. (2018). Metodologia da pesquisa científica. [libro electrónico gratuito]. Santa María/RS. Ed. UAB/NTE/UFSM

Risemberg, RIC y cols. (2026). A importância da metodologia científica no desenvolvimento de artigos científicos. E-Acadêmica , 7 (1), e0171675. https://eacademica.org/eacademica/article/view/675 .

Servicio de Información Agroalimentaria y Pesquera. (2025). Producción agrícola: Cierre de la producción agrícola (1980–2022). https://nube.siap.gob.mx/cierreagricola/

Servicio de Información Agroalimentaria y Pesquera. (2025). Avance de siembras y cosechas: Resumen por estado. http://infosiap.siap.gob.mx:8080/agricola_siap_gobmx/ResumenProducto.do

Shaimardanovich, D. A., & Rustamovich, U. S. (2018). Economic-mathematical modeling of optimization production of agricultural production. Asia Pacific Journal of Research in Business Management, 9(6), 10-21.

Singh, A., & Panda, S. N. (2012). Development and application of an optimization model for the maximization of net agricultural return. Agricultural water management, 115, 267-275.

Taha, H. A. (2012). Investigación de operaciones (9ª ed.). Pearson Educación: México.

Valadez, A. (2023, 4 de diciembre). Grupo Modelo redujo compra de cebada en México; la trae de Australia. La Jornada. https://www.jornada.com.mx/2023/12/04/estados/029n1est

Vázquez-Alfaro, M., Aguilar-Ávila, J., & Palacios-Rangel, M. I. (2021). Cadena de valor de la industria cervecera en México. Nova Scientia, 13(27), 277–299. https://doi.org/10.21640/ns.v13i27.2778

VinePair Staff. (2024, July 22). These are the top 20 beer-producing countries in the world (2024). VinePair. https://vinepair.com/booze-news/top-20-beer-producing-countries-2024/

Downloads

Published

2026-03-27

Issue

Section

Agrarian and Biological Sciences

How to Cite

Mathematical model to determine the profitability of crops in the state of Hidalgo. Research, Society and Development, [S. l.], v. 15, n. 3, p. e7315350771, 2026. DOI: 10.33448/rsd-v15i3.50771. Disponível em: https://rsdjournal.org/rsd/article/view/50771. Acesso em: 2 apr. 2026.