The organelle that produces ribosomes is the nucleolus.

Here's a breakdown:

* Ribosomes are essential for protein synthesis. They read the genetic code from messenger RNA (mRNA) and use it to assemble amino acids into proteins.

* Nucleolus is a dense region within the nucleus of eukaryotic cells. It is the site of ribosome biogenesis, meaning it synthesizes ribosomal RNA (rRNA) and assembles the ribosomal subunits.

* Ribosomal subunits (large and small) are then transported out of the nucleus into the cytoplasm, where they combine to form functional ribosomes.

So, the nucleolus is the key player in making the protein factories of the cell!