There is no plan for this at the moment, depending on what you mean by 'plan'.
Obviously the bourgeoisie will disappear at some point between now and a classless society, but the questions of how and when are not set.
Recently and for the forseeable future, the wealth gap issue is being addressed by raising the wealth of the working class rather than lowering the wealth of the boojees. The boojees feel it where those things overlap, though, such as wage protection and price control.