Mine production systems (MPS) are characterized, more or less, by the following properties: uncertainty, subjectivity, impreciseness, polysemy, instability, indefiniteness and lack of data. From the aspect of modern studies these MPS mathematically belong to the class of fuzzy systems. With this in mind, the usage of fuzzy sets is recommended as a methodology that treats the impreciseness , indefiniteness and complexity of mine production systems in a satisfactory manner. Fuzzy modeling, discussed in this paper, is applied as a mathematical implement. The objective of the paper is to show production optimization in practice on the example of bauxite open pits where fuzzy linear programming (FLP) was used. following the criterion per income. The variables in the criterion function are linguistic variables while both variables and variable restrictions are presented by triangular fuzzy numbers (TFN). The term "satisfactory income" presented through triangle fuzzy numbers was introduced instead of "maximizing the income". Sensitivity of the obtained solutions has been analyzed.