The article considers a conceptual approach to forecasting demand on products of a production or trading company using economic and mathematical methods. It justifies importance of modelling and forecasting consumer demand on goods. It provides a classification of methods of forecasting demand in two dimensions: from subjective to objective ones and from na?ve to cause-effect ones. It systemises groups of factors that influence demand and analyses character of their influence. It develops a concept of forecasting demand on products of a company using economic and mathematical methods, which consists of four stages: identification of factors that influence demand, selection of mathematical dependence, check of adequacy and accuracy of the model and forecast of demand. It builds forecast demand models for a specific trading company: Brown's adaptive polynomial model of the first order; and two-factor model, demand in which depends on the price of a good and its changes. It checks adequacy of each model and performs forecast of demand on products of a company.
