Which organelle helps make and package materials to be transported out of the cell?

The Golgi apparatus is the organelle responsible for modifying, sorting, and packaging proteins and lipids that have been synthesized in the endoplasmic reticulum. It plays a crucial role in processing these materials, which are then typically transported to various destinations within or outside the cell.

In the Golgi apparatus, proteins undergo further modifications, such as glycosylation, and are then enveloped in vesicles that bud off from its membrane. These vesicles can carry the materials to the cell membrane for secretion or to other organelles, ensuring that the cell's functional needs are met efficiently.

Other organelles listed, while being vital to cellular functions, do not specifically focus on packaging materials for transport. Lysosomes are involved in digestion and waste disposal; mitochondria are crucial for energy production; and the nucleus houses genetic material and oversees cellular reproduction and gene expression. In summary, the Golgi apparatus is uniquely specialized for the packaging and transport of cellular materials.