in a dutch oven heat the butter and olive oil over medium heatonce the butter has melted,add the onionsaute until the onion is soft and translucent {about 10 minutes}add the cabbagestir until the cabbage begin to wiltadd the sugar, vinegar, salt and pepperstir and coverreduce the heat to med-low and cook for 15 minutes {the cabbage will be tender}add the apple slices, stirring frequently, and cook until the apples are tender, but not mushy {another 5 minutes}