Abstract:In this paper, the GM(1,1) model for developing sheep husbandry is built, that is, X(k+1)0=135919.6772e0.0283062081+8715.3224e(-2.638216866-26187.4039. Besides, after a suggestion having been put forward the composition of sheep colony is optimized by using the methods both linear programming and traditional, and the result shows that the sheep quantity will be 200000 in 2000 and the ratio of the goat guantity and the sheep is 3.23:1.