As　an　important　resource　allocation　and　production　analysis　method,　the　existing　inverse　data　envelopment　analysis　(Inverse　DEA)　methods　generally　ignore　the　production　trade-offs　in　the　production　process.　However,　in　some　managerial　practice,　decision　makers　(DMs)　generally　have　value　judgements　concerning　the　importance　of　inputs　and　outputs.　These　value　judgements　reflect　the　production　trade-offs　of　DMs　for　different　inputs　and　outputs　and　influence　the　production　process.　Therefore,　this　study　investigates　the　inverse　DEA　method　with　production　trade-offs.　By　analyzing　the　effect　of　production　trade-offs　on　efficient　frontier,　this　study　reveals　that　the　existing　methods　for　identifying　the　limitations　of　changed　range　of　inputs　and　outputs　in　inverse　DEA　model　under　variable　returns　to　scale　(VRS)　are　invalid　when　considering　the　production　trade-offs,　and　based　on　this,　the　new　inverse　DEA　methods　with　production　trade-offs　for　resource　allocation　and　production　analysis　are　developed.　Moreover,　the　limitations　of　changed　range　of　inputs　and　outputs　of　the　proposed　methods　are　identified,　thus　avoiding　the　problem　of　infeasible　solutions.　In　addition,　the　application　scenarios　and　practical　values　of　the　proposed　methods　are　discussed.　Finally,　two　examples　are　provided　to　illustrate　the　rationality　and　effectiveness　of　our　approaches.