Optimization of Poultry Feeds Production Using Linear Programming Technique

Optimization of Poultry Feeds Production Using Linear Programming Technique


  • H. A. Owolabi Obafemi Awolowo University
  • B. V. Omidiji Obafemi Awolowo University
  • O. C. Falade Obafemi Awolowo University


In Production Industries where the objectives of firms are centred on the increment in profit and reduction in the cost of production, while maintaining standard quality product, it becomes necessary to evaluate the equivalent units of production that promote the company's goal. This paper presents a Linear Programming (LP) approach that optimizes production units to achieving the overall maximum profit generated from different types of feeds produced by poultry feed industry, while considering several constraints during the blend of constituents in the production of rations. Data from a feed mill in Lagos State in South-West Nigeria that produces poultry feeds, such as starter mash, grower mash, chick mash, and broiler mash were collected for validation of the Linear Programming (LP) model. Results showed that by utilizing 1000kg of maize, 1331.42kg of wheat ofals, 819.43kg of soya beans, 407.34kg of metaioline, 5.34kg of lysine, and 67.49kg of fish meal from the available quantities in stock, the overall profit to be generated from poultry feeds production increases from N7,602 to N9,424.60. It was also deduced from results obtained that the feed mill can achieve maximum profit by concentrating on production of layer mash and broiler finisher mash or increasing the production of these types of feeds among others usually produced in the feed mill.

Keywords: Poultry feeds, Optimization, Linear Programming, Constituents, Constraints.

Author Biographies

H. A. Owolabi, Obafemi Awolowo University

Department of Mechanical Engineer

B. V. Omidiji, Obafemi Awolowo University

Department of Mechanical Engineering

O. C. Falade, Obafemi Awolowo University

Department of Mechanical Engineering


Afolayan, M.O. and Afolayan m.(2008) Nigeria Oriented Poultry Feed Formulation, Software requirements. Journal of Applied

Sciences Research, 4(11): 1596-1602.

Al-Desert, B.(2009) Least-Cost Broiler Ration Formulation Using Linear Programming Technique, Journal of Animal and

Veterinary Advances, 8(7): 1274-1278.

Chvatal, V. (1983) Linear Programming, Freeman, New York, Vol.27, 25-31.

Fetuga, B.C. (1989) Techniques in Feed Formulation: Part II, In: Feedmill Mangement in Nigeria, Proceedings of Feedmill

Management Training Workshop, University Press, Ibadan; 145-155.

Guevara, V.R. (2004) Use of nonlinear programming to optimize performance response to energy density in broiler feed

formulation, Poultry Sci., 83(2): 147-151.

Kirpatrick, S., Gelate, C.D., and Vecchi, M.P., (1983) Optimization by simulated annealing, Journal of Sci., 220 (4598): 671-

Nath, T., and Talukdar, A.(2014) Linear Programming Technique in Fish Feed Formulation, International Journal of

Engineering Trends and Technology, 17(3);132-135.

Oliveira, J.E, Soares, J.B., Barion, L.G., Leite, G.,G., Braga, A. C., and Menezes, M.E.(2010) Optimized feed planning for a

grazing horse production systems, Revista Brasileira de Zootecnia, 39(4):932-940.

Ojewola, G.S., Okoye, F.C., and Agbakwu, I., (2004) Replacement of Cashew-nut meal for soybean meal in finishing Broiler

chickens, International Journal of Poultry Science, 3(8):513-516.

Olorunfemi, T.O.S., Aderibigbe, F.M., Alese, B.K., and Fasakin, G.A., (2006) Utilization of duckweed (lemna paucicostata)

in least-cost feed formulation for broiler starter: A linear programming analysis, Inform. Technology Journal, 5: 166-

Onwurah, F.B.(2011) Excel Feed formulation and Feeding Models, Proceedings of the 1st International Technology, Education

and environmental Conference, African Society for scientific research, pp 192-199.

Souda, W.E. (1973) Utility and perceived acceptability of R&D project selection models, Management science, 19(2):1384-

Simmons, D.D., (1972) Linear Programming for Operations Research, Holden Day, Inc., San francisco

Sklan D., Moallem U., and Folman, Y. (1991) Effect of feeding calcium soaps of fatty acids on production and reproductive

responses in high producing lactating cows, J. of Dairy Sci., 74: 510-517.

Stroud, K.A.(1994) Further Engineering Mathematics, 2nd Ed., ELBS Publisher, China.VandeHaar I. and Black, M.J., (1991) Ration formulation using

linear programming, American Journal of Clinical Nutrition, 7(2): 541-565.

Waugh, F.V.(1951)The Minimum Cost Dairy Feed, Journal of Farm Economics, 33: 299-310.