The article analyses the malnutrition problem in Bangladesh and examines the possibility of achieving self-sufficiency in food, where self-sufficiency is defined in terms of nutritional requirements. A linear programming model is used as the main vehicle of analysis. The decision variables are the type of crops or cropping patterns to be produced in different places of the country. The model is applied at the village level. Two villages are considered for the study. The analysis shows that working together both the villages can achieve self-sufficiency even if only the existing land areas utilized in winter and summer seasons are available for cultivation.