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Menu Planning, Optimization, Mathematical Modeling, School Food.
This thesis addresses the Menu Planning Problem, presenting mathematical models to generate school menus that attending the requirements of the National Food Program School (PNAE). The two models have the function of minimizing the total cost of the menu. In the first model, we want to generate menus for 5 days and we have the following constraints: composition; color; consistency; variety; the minimum and the maximum limits of: carbohydrates, lipids and proteins, the maximum limit of sodium and saturated fat. In the second model, we want to generate menus for 푛 days and considered constraints related to: variety; the minimum and the maximum limits of: carbohydrates, proteins, lipids, sodium, saturated fat, and added sugar; minimum supply of: in natura or minimally processed foods, including weekly servings of fruits, greens and vegetables; weekly minimum offer of: vitamin A, foods with heme iron and sources of vitamin C when there are foods with non-heme iron; the maximum limit of: margarine, sweetened dairy products and meat derivatives products and finally, and combination and rejection of preparations. The menus were obtained by solving the linear mathematics models proposed through a mathematical programming software package performance (IBM CPLEX Optimizer). The qualitative aspects of the menus obtained were evaluated through the IQ COSAN - Safety Coordination Quality Index Nutritional Food. The results showed that the menus of both the first and second modeling are adequate to the IQ COSAN and to the recommendations of the PNAE. The costs were adequate, taking into account the financial resources made available to the schools. Cultural aspects of the menu were accounted for through the foods and culinary preparations included in the program. The results showed that the menus generated by the models are feasible and suitable both quantitatively and qualitatively for scholar menu planning. This study makes feasible and contributes to the pandemic scenario of obesity worldwide, presenting menus that introduce healthy eating habits, as well as helping the professional responsible for preparing them.