DATABASE: library (library_name [pk], City, Phone, manager_SSN [pk, fk]) book (book_name [pk], Genre, Country) borrower (SSN (pk), Name, Birthyear, Fav_book[fk], Gender) likes (SSN[pk, fk], book [pk, fk]) bookLoans (library [fk], books [fk]) manager (SSN[pk], Name, City, Address, Phone) | Provide OPTIMIZED relational algebra for the following queries: 1 a) List name, gender, and age of all borrowers. b) List all male borrowers older than 65 years of age. c) List the book names loaned by at least one library and liked by at least one borrower. d) List the name and ssn of all borrowers who like their favorite book