The aim of the paper work is to optimize the population structure in a selection plan, according to model developed by Colburn (1961), which will be proposed to be applied for live weight and traits associated with carcass and meat quality improvement in Palas Meat Line. The method used in this paper work is modeling, which exist in the most animal breeding scientifically papers. After the simulations, we observed that the most convenient variant was that which prefigure 400 females in nucleus, a weight of the groups by A – 24%, B – 19% + 19%, C – 38%, 13 rams in nucleus and maximum values for demographical parameters.