Final answer:
Apo C-II is needed for the activation of lipoprotein lipase, and Apo A-I is needed for the activation of lecithin:cholesterol acyltransferase (LCAT).
Step-by-step explanation:
The apoprotein needed for the activation of lipoprotein lipase is Apo C-II, and the apoprotein needed for the activation of lecithin:cholesterol acyltransferase (LCAT) is Apo A-I.
Lipoprotein lipase is responsible for the breakdown of triglycerides in chylomicrons and very low-density lipoproteins (VLDL), and Apo C-II acts as a cofactor for the activation of lipoprotein lipase.
LCAT is an enzyme that esterifies cholesterol to form cholesterol esters. Apo A-I is the primary apoprotein associated with high-density lipoproteins (HDL), and it is required for the activation of LCAT.