Optimal Selection Of Crops: A Casestudy Of Small Scale Farms In Fanteakwa District, Ghana.
Joseph Otoo, Johnson K. Ofori, Francis Amoah
Index Terms: Linear Programming; Cropping Patterns; Small Scale Farms; Net Returns; Optimal Solution.
Abstract: The main purpose of this study was to present a formulated Linear Programming(LP) Model for 16 selected small scale farmers from 32 operational areas of Fanteakwa District in the Eastern Region of Ghana. The study considered ten (10) crops namely garden eggs, water melon, cabbage, onion, tomato, cucumber, okra, pepper, cocoa (nursery) and plantain. The formulated LP Model for this study assumed profit maximizing behavior, a single-period planning and a certain environment. The formulated LP Model suggested no production of sole crop enterprises like cabbage, onion, cocoa (nursery), pepper (grown on raised bed), pepper and garden egg (grown on raised bed + irrigation). The model also prescribed no production for crop mixtures like garden egg/okra and cabbage/cucumber/pepper. The formulated LP Model prescribed production of 1 acre of garden egg, 3 acres of watermelon, 4 acres of tomato, 2 acres of cucumber, 1 acre of plantain, 2 acres of garden egg (irrigation), 1 acre of okra/garden egg/pepper and 1 acre of pepper/garden egg. Comparison of results obtained by using existing farming plan and the LP Model indicate that results obtained from the LP Model were significant improvements of the existing farming plan. The LP Model saved 0.2% and 0.6% of available capital and labor requirement respectively. A 16.25% significant increment of the net returns was obtained by the LP Model. This was as result of net returns increasing from GH¢77,848.00 to GH¢88,177.00. These results suggest the essence of application of formulated mathematical models like the LP Model to planning and management of limited resources.
 J.A. Frizzone, R.D. Coelho, and D. Douradoneto; R. Soliant. Linear Programming Model to Optimize the Water Resource Use in Irrigation Projects: An Application to the Senator Nilo Coelho Project. Science Agric Piracicaba, 54:136148, 1997.
 S. B. Gadge, S. D. Gorantiwar, Virendrakumar, and Mahesh Kothari. Linear Programming Approach for Allocation of Land and Water Resources in Canal Command Area under Surface Method of Irrigation- A Case Study. International Journal of Innovative Research in Science, Engineering and Technology, 3(4):153168, 2014.
 Ishtiaq Hassan, Izhar Ahmed Khan muhammadArifRaza, and RehmatIlahi. Use of Linear Programming Model to Determine the Optimum Cropping Pattern, Production and Income Level: A Case Study from Dera Ghazi Khan Division. Journal Of Agriculture & Social Sciences, 1:3234, 2005.
 Peter B. R. Hazell and Roger D. Norton.Mathematical Programming for Economic Analysis in Agriculture. Macmillan Publishing Company, 1986.
 K. C. Igwe and C. E. Onyenweaku.A Linear Programming Approach to Food Crops and Livestock Enterprises Planning in Aba Agricultural Zone of Abia State, Nigeria. American Journal of Experimental Agriculture, 3(2):412431, 2013.
 K. C. Igwe, C. E. Onyenweaku, and L. Tanko. 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, 13(3):2231, 2013.
 K.C. Igwe, C.E. Onyenweaku, and J.C. Nwaru.Application of Linear Programming to Semi-Commercial Arable and Fishery Enterprises in Abia State, Nigeria. International Journal of Economics and Management Sciences, 1(1):7581, 2011.
 Mahmoud DaneshvarKakhki, Nasser Sahnoushi, and F. Salehi Reza Abadi.The Determination of Optimal Crop Pattern with Aim of Reduction in Hazards of Environmental. American Journal of Agricultural and Biological Sciences, 4:305310, 2009.
 Felix Majeke. Optimum Combination of Crop Farm Enterprises: A Case Study of A Small-scale Farm in Marondera, Zimbabwe. International Researcher, 2:6065, 2013.
 Felix Majeke, Majeke Judith, Mufandaedza Jonathan, and Shoko Munashe.Modeling a Small Farm Liveli-hood System using Linear Programming in Bindura, Zimbabwe. Research Journal of Management Sciences, 2(5):2023, 2013.
 Johnson K. Ofori, CephasBosrotsi, and Joseph Otoo. Optimal Allocation of Irrigation Water for Rice Production in Ghana, Case Study: Kpong Irrigation Project (KIP). International Journal of Interdisciplinary Research and Innovations, 3(1):2530, 2015.