A solid waste (garbage) transfer facility that sorts and breaks down garbage into recyclables and waste to be thrown away in the landfill would be a suitable analogy for which cellular organelle.

Lysosome
Rough er
Smooth er
Nucleus

The lysosome would be a suitable analogy for this type of solid waste transfer facility. Just as lysosomes in a cell contain enzymes that break down and recycle waste materials, the transfer facility would sort and break down garbage into recyclables and material to be sent to the landfill.