Step 1: Understanding the function mentioned.
The question refers to the organelle that modifies, sorts, and packages proteins and lipids into vesicles for transport either within or outside the cellThis function is related to intracellular trafficking and secretion
Step 2: Evaluation of options.
(A) Rough endoplasmic reticulum: It is mainly involved in protein synthesis because ribosomes are attached to its surfaceIt does not primarily handle packaging and sorting
(B) Lysosome: Lysosomes contain digestive enzymes and are responsible for intracellular digestionThey are not involved in packaging and transport
(C) Golgi apparatus: The Golgi apparatus modifies proteins and lipids received from the ER, sorts them, and packages them into vesicles for deliveryThis matches exactly with the function described
(D) Ribosome: Ribosomes synthesize proteins but do not package or transport them
Step 3: Conclusion.
Hence, the correct organelle responsible for packaging and sorting is the Golgi apparatus