This study was conducted to find the method that the least-cost formula can be determined thus allowing a better keeping of raw material supplies under the constraints having to be used some raw materials that are either in limited supply or for other reason in restricted use. In this study, it was considered that three kinds of feed were produced under limited supply of six kinds of raw materials, and data for the analysis were collected from a feed mill in southern part of Korea. According to the result of this study, it was proved better to determine the least-cost formula as the multi-mix problem than as the simple least-cost problem when more than two kinds of feed were produced wilt limited supply of raw materials.