Application of Linear Programming to optimize the cost of a balanced diet

Abstract

Introduction: The objective was to determine how linear programming optimized the cost of the diet of balanced feed for chickens in the poultry company.

Material and methods:The design of the research was preexperimental of descriptive type, the sample was for convenience, we worked with the balanced feed used in the 56-day campaign for a total of 1 344000 BB chickens. In the development of the research information was collected from food inputs to determine the decision variables, the nutritional components were measured to determine the restrictions and the decision variables were identified subject tothe restrictions to determine the optimal mix at the best price. The softwaresused was WinQSB, XLStat, Excel, IBM SPSSv20.

Results: The Ishikawa and Pareto diagramsdetermined the causes of the high cost of balanced feed, the cost information for the secondcampaign 2017 was used, which represents the supplies of greater supply: Corn 4332263,96kg, 60270,78kg bran, cake soybean 755599,39kg, whole soybean 1387355,63 kg, fishmeal 111539,89kg, molasses 160302,77kg, calcium carbonate 74235,99kg,dicalcium phosphate 128352,16kg, DL methionine 14243,71kg, lysine HCL 8264,73kg, salt 30892,57kg, sodium bicarbonate 38185,97kg, premix 8402,45kg birds, coccidios tato 3543,52kg, av. of growth 7087,07kg, CL hill 3543,52kg, as decision variables at a total cost of S/ 9569491,34; the basic feasible solution was: 3,13% metabolized energy, 19,75% proteins, 6,02% fat, 3,00% fiber, 1,15% lysine, 0,90% M + C, 0,96% calcium , 0,46% available phosphorus, 0,21% sodium, 250,00% Na + K-Cl, having a contribution of S/ 3 491834,00, with a saving of 36,49% and ensuring the cost in S/ 6 077657,34.

Discussion: The results concludethat linear programming ensures the supply of nutrients at the least cost in poultry.