Final answer:
Insulin production and blood sugar regulation is not a function of the liver; this is the role of the pancreas. The liver is involved in nutrient processing, blood detoxification, and cholesterol production.
Step-by-step explanation:
The function that is NOT a responsibility of the liver is insulin production and blood sugar regulation. The liver has many roles, including nutrient processing, blood filtration and detoxification, and cholesterol and lipoprotein production. Insulin production is a function of the pancreas, not the liver. Although the liver does help in regulating blood sugar levels by storing and releasing glucose as needed, it does not produce insulin.