This study was performed to determine the optimum ratio of ingredients in the Sulgidduk with barley(Hordeum vulgare L.) sprout powder. A mathematical analytical tool was employed for optimization of the typical ingredients. The canonical form and trace plot showed the affect of each ingredient in the mixture against the final product. Mixture design showed 14 experimental points, including 4 replicates for three independent variables. The three independent variables selected for the experiment were: water($15{sim}22%$), barley sprout powder($1{sim}4%$), and sugar($12{sim}19%$). The optimum responses variables such as color values(L, a, and b), instrumental texture parameters(hardness, gumminess, and chewiness), and sensory characteristics(appearance, color, smell, taste, softness, moistness, and overall acceptability) were evaluated. The Hunter colorimetric L- and a-values of the Sulgidduk decreased with an increasing amount of barley sprout powder. As more barley sprout powder was added, a higher b-value resulted. Textural hardness, gumminess, and chewiness were lowered by the addition of barley sprout powder. The optimum formulation obtained by both numerical and graphical methods showed similar results. The representative optimal ingredient ratio commonly obtained by both methods were: 18.2% water, 2.0% barley sprout powder, and 14.8% sugar.