Consider the following relation with sample data.

$$ The SHIPMENTS Table for a car part company captures the data about car part shipments. $$ Each shipment has a unique Shipment ID and a Shipment Date.

$$ Each shipment is shipped on one truck.

$$ Each truck has a unique Truck ID and a Truck Type.

$$ Each shipment can ship multiple products.

$$ Each product has a unique Product ID and a Product Type.

$$ Each quantity of a product shipped in a shipment is recorded in a table in the column Quantity.

a$.$ Depict full key functional dependencies, partial functional dependencies $($if any$),$ and transitive functional dependencies $($if any$),$ in the Shipments Table. $(5$ points$)$

b$.$ Show the result of normalizing the Shipments Table to $2$NF$.(5$ points$)$

c$.$ Show the result of normalizing the Shipments Table to $3$NF$.(5$ points$)$