Consider the following relation for published books:

BOOK (Book_title, Authorname, Book_type, Listprice, Author_affil, Publisher)
Author_affil referes to the affiliation of the author. Suppose the following dependencies exist:
Book_title -> Publisher, Book_type
Book_type -> Listprice
Author_name -> Author-affil
(a) What normal form is the relation in? Explain your answer.
(b) Apply normalization until you cannot decompose the relations further. State the reasons behind each decomposition.

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Given the relation
Book(Book_title, Authorname, Book_type, Listprice, Author_affil, Publisher)
and the FDs
Book_title ??Publisher, Book_type
Book_type ??Listprice
Authorname ?Author_affil

(a)The key for this relation is Book_title,Authorname. This relation is in 1NF and not in
2NF as no attributes are FFD on the key. It is also not in 3NF.

(b) 2NF decomposition:
Book0(Book_title, Authorname)
Book1(Book_title, Publisher, Book_type, Listprice)
Book2(Authorname, Author_affil)
This decomposition eliminates the partial dependencies.
3NF decomposition:
Book0(Book_title, Authorname)
Book1-1(Book_title, Publisher, Book_type)
Book1-2(Book_type, Listprice)
Book2(Authorname, Author_affil)
```
This decomposition eliminates the transitive dependency of Listprice