Home›Consumer theory›Expenditure minimization problem🌐EnglishEnglishDeutschFrançaisTiếng Việt中文日本語EntityQ5253365· pop 6· linked from 9 articlesExpenditure minimization problemSign in to savein microeconomicsAvailable in 6 languages中文日本語LaoTiếng ViệtUkrainianvia Wikidata sitelinks · CC0ConnectionsHicksian demand functionEntityInternational Standard Book NumberEntitymicroeconomicsEntityconsumerEntitybijectionEntityutilityEntitydualityEntityMarshallian demand functionEntityexpenditure functionEntityAndreu Mas-ColellEntityutility maximization problemEntityCategoriesConsumer theoryExpenditureOptimal decisions