Determination of Optimum Crop Mix Using Linear (LP) Programming among Small Holder Farmers in Agricultural Zone Four of Adamawa State, Nigeria

Main Article Content

D. O. A. Phillip
E. Peter
A. A. Girei


Linear programming was applied to farm data collected from 120 smallholder farmers in 2017/18 cropping season in agricultural zone four (4) of Adamawa state, Nigeria for the purpose of identifying optimal crop mix to maximize revenue. A total of twenty (20) cropping enterprises were identified in the existing cropping pattern, fifteen (15) mixed and five (5) sole cropping enterprises. Popular enterprises identified included four mixed and two sole cropping enterprises and all the six enterprises showed positive net return. The result of the linear programming analysis however, showed that the optimal farm plan at observed maximum resource levels admitted only groundnut and sorghum in the final plan to be produced at 2 hectares with an associated total gross margin of N478, 380.00. In the sensitivity analysis identified with the observed maximum resource level, land was the only binding resource in the final plan. The optimal farm plan at observed average resource levels showed that three enterprises; groundnut/sorghum, maize/sorghum and sole maize were admitted in the final plan under 0.45ha, 0.21ha and 0.17ha, respectively. The associated total gross margin was N153, 003.99. In the sensitivity analysis associated with the observed average resources, only NPK, SSP, Laraforce were binding resources. The study recommended that the optimum enterprises and resources combination obtained in the Linear Programming output should be extended to the farmers to enhance their profit level, beside; farmers should be encouraged through adequate support and promotions to improve the production techniques of these recommended enterprises.

Linear programming, mix cropping, existing plan, optimum plan, enterprise, small holder farmers

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How to Cite
Phillip, D., Peter, E., & Girei, A. (2019). Determination of Optimum Crop Mix Using Linear (LP) Programming among Small Holder Farmers in Agricultural Zone Four of Adamawa State, Nigeria. Asian Journal of Agricultural Extension, Economics & Sociology, 34(2), 1-10.
Original Research Article


FAO. Food security and nutrition: Challenges for agriculture and the hidden potential of soil; 2018.

IFPRI. World Population Day 2017: IFPRI models impact of population growth on demand for food; 2017.

IFAD. International Fund for Agricultural Development (IFAD). Annual Report. IFAD; 2018.

FAO. World development; 2016.

Dixon J, Tanyeri-Abur Y, Wattenbach H. Smallholders, globalization and policy analysis. Agricultural Management, Marketing and Finance Service Occasional Service Paper 5, Agricultural Support Systems Division FAO, Rome; 2004.

Phillip D, Nkonya E, Pender J, Oni AO. Constraints to increasing agricultural productivity in Nigeria: A review. Nigeria Strategy Support Program Background Paper. No. NSSP 006. Washington DC: International Food Policy Research Institute; 2009.

NBS. National Bureau of statistics Nigeria; 2019.
(Accessed on 20/4/2019)

FGN/JICA. Federal Republic of Nigeria study for poverty profile (Africa) Final Report; 2011.

Majeke F, Majeke J, Mufandaedza J, Shoko M. Modeling a small farm livelihood system using linear programming in Bindura, Zimbabwe. Research Journal of Management Sciences. 2013;2(5):20-23.

Hazell PBR, Norton RD. Mathematical programming for economic analysis in agriculture. New York: Macmillan Publishing Company; 1986.

Mohamad NH, Said FA. Mathematical programming approach to crop mix problem. African Journal of Agricultural Research. 2011;6(1):191-197.

Sofi NA, Aquil A, Mudasir A, Bilal AB. Decision making in agriculture: linear programming approach. International Journal of Modern Mathematical Sciences. 2015;13(2):160-169.

Bharwani S, Besa MC, Taylor R, Fischer M, Devisscher T. Identifying salient drivers of livelihood decision making in the forest communities of Cameroon: Adding value to social simulation models. Journal of Artificial Societies and Social Simulations. 2015;18(1):3-23.

Igwe KC, Onyenweaku C. Optimum combination of farm enterprises among smallholder farmers in Umuahia Agricultural Zone, Abia State, Nigeria. Journal of Biology, Agriculture and Healthcare. 2013;3(18):2224-3208.

Nevo A, Pad R, Podmore TH. An integrated expert system for optimal crop planning. Agric Systems. 1994;45(1):73–92.

Aubry C, Papy F, Capillon A. Modeling decision-making processes for annual crop management. Agric System. 1998;56(1): 45–65.

Igwe KC, Onyenweaku CE, Tanko L. A linear programming approach to combination of crop, monogastric farm animal and fish enterprises in Ohafia Agricultural Zone, Abia State, Nigeria. Global Journal of Science Frontier Research Agriculture and Veterinary Sciences. 2013;13(3):42-48.

Scarpari MS, Beauclair EG. Optimized agricultural planning of sugarcane using linear programming. Revista Investigacion Operacional. 2010;31(2):126-132.

Bowman SM, Zilberman D. Economic factors affecting diversified farming systems. Benefits, costs, obstacles, and enabling policy frameworks. Ecology and society. Resilience Alliance. University of California, Berkerly; 2013.

Lawal H, Maurice DC, Amaza PS. Optimal production plan and resource allocation among sedentary agro pastoralists in Adamawa State, Nigeria. Asian Journal of Agriculture and Food Sciences. 2015;3(6):15-28.

Ohajianya D, Oguoma O. Optimum cropping pattern under limited resource conditions: A micro-level study in Imo State, Nigeria. Pakistan Journal of Social Sciences. 2009;6(1):36-41.

Yang WY. Methods of farm management investigation for improving farm productivity. FAO, Rome; 1995.

IFPRI. The future of small farms for poverty reduction and growth, IFPRI 2020 Discussion Paper 42; 2007.

Adebayo AA. Mubi Region: A geographical synthesis: Paraclette Publishers, Yola Nigeria; 2004.

NBS. National Bureau of statistics Nigeria; 2019.
(Accessed on 20/4/2019)

Jongur AAU. Agricultural financing and cooperatives in Adamawa State. In Agriculture in Adamawa State Edited by E.C. Igwe, S.I. Mshelia and M.Y. Jada, Published by Paraclete Yola. 2005;30- 36.