In this paper we investigate preferences for fat in milk through a structural characteristics model. The data includes information about daily purchases and social and demographic characteristics of more than 1,100 households. We find that consumers who prefer milk with a high fat content do not react to information about health effects, but can be influenced by prices, while consumers who prefer milk with a low share of fat are influenced by information, but are less price sensitive. Therefore, when attempting to decrease consumption of fat from milk, prices are more efficient than information.