1. (15 pts) Consider following relation for published books: Book_type List_price Author_affil Publisher BOOK Book title Author name FD1 FD3 FD2 Author affil refers to the affiliation of the author. Primary key is {Book_title, Author_name}. Functional dependencies are: FD1: Book_title -> Publisher, Book_type FD2: Book_type -> List_price FD3: Author_name -> Author_affil a. (5 pts) What normal form this relation in (1NF, 2NF, 3NF)? Justify your answer by describing violations of normal forms (if any). b. (10 pts) Describe steps to normalize this relation up to 3NF. For full points, show all decomposed relations