Minimization of The Costs of Feed for Red Meat Production Using Linear and Quadratic Programming

The objectives of this study were to instigate the replacement of different alternative feed resources in total mixed rations of beef steers for maximizing the productivity and reduce the feeding costs.
This study was used a method of economic analysis guideline of Normative Analysis through the formulation of a mathematical model to describe the current distribution of them, in a manner of Linear Programming and considered a model representative of the state of Base Solution then adapt this model in light of a number of restrictions realism to get to know the results of the following combinations of alternative feed resources in total mixed rations, as use sensitivity analysis to test the sensitivity of the optimal solutions reached, shadow prices per ton of each ingredient to evaluate the efficiency of alternative combinations of price .
It is clear from the results that the alternative feed rations models in linear programming has excelled as high as those in the case of quadratic programming except diet (4), wich has been in the substitution of corn silage wheat straw and alfalfa hay, where the amount of impairment is 0.13 pounds / ton approx.
thus It gives a general indication of the superiority of linear programming from those squared when the diets of animal and alternatives resources were combiend as well as the possibility of increasing the feed efficiency of animals using those alternatives forage at lower cost, with the possibility of reducing the price of a kilogram of red meat for the consumer,maintain the stability and even lower the prices of red meat on the long term , achieve a surplus of free currency directed to the outside , which ultimately leads to higher standards of living of the citizen is the ultimate goal of all development plans.This study recommends the possibility of following and apply the investigated feeding system under the strategy pursued by the Egyptian Ministry of Agriculture.