Consider the following ER model about editing books written by authors. Assuming there are 30 authors, 1000 books and 10 editors, answer these questions: Editors eid aid R Authors Books bid 1) Modify the ER model such that each author writes at most one book and works with at most one editor. a. What is the maximum number of triples in R b. What is the minimum number of triples in R 2) Modify the ER model such that each author writes exactly one book and works with exactly one editor. a. What is the maximum number of triples in R b. What is the minimum number of triples in R 3) Modify the ER model such that each author writes at least one book and works with at least one editor. Each editor edits at least one book and works with at least one author. Each book is written by at least one author and is edited by at least one editor. a. What is the maximum number of triples in R b. What is the minimum number of triples in R