This question lack some options you can search in the search engine to get full question but I also attached the options in the end of this answer.
Answer:
The sequence of events that occur are as follow:
PFK (protein)
cytoplasm only Insulin protein (targeting pathway)
ER > Golgi > outside cell
Explanation:
In eukaryotic cells there are two major pathways targeting for proteins encoded by nucleus.
Production site of proteins
PFK protein function in cytoplasm are translated particularly on the free ribosomes found in cytoplasm and released on the same site (cytoplasm).
Insulin Protein are the part of major compartments in endomembrane system. It is directly secreted by cell therefore it is translated on endoplasmic reticulum bounded ribosomes. These proteins can be found in two places as end-product of translation.
storage sites of proteins
Firstly, if protein is targeted to endomembrane system’s membrane it can be found in endoplasmic reticulum.
Secondly, if the protein is targeted to inside or outside of the endomembrane system’s organelle it can be found in lumen of rough endoplasmic reticulum.
Traveling pathway of proteins
From rough endoplasmic reticulum either from lumen or membrane these non-cytoplasmic proteins reach (move) to (in) Golgi apparatus for sorting and packaging before being delivered to their final site of action.
Missing Options:
Cytoplasm only, ER --> cytoplasm, ER --> Golgi --> outside cell, cytoplasm --> ER --> outside cell, Golgi --> ER --> outside cell, cytoplasm --> Golgi --> outside cell, nucleus --> cytoplasm, ER --> Golgi --> cytoplasm
Protein Targeting Pathway
PFK _______________
Insulin _______________