$1.$Consider the following library management system. The library contains a large collection of books, magazines, and DVDs$.$ Each item $($book$,$ magazine, DVD$)$ has a unique ID$,$ title, publication date, and genre. The library serves many members who are identified by member ID$,$ and have a name, address, and phone number.Members can borrow multiple items. Each borrowing record should include a unique transaction ID$,$ the date of borrowing, and the date of return. Books and DVDs can be borrowed for a period of up to $3$ weeks, while magazines can be borrowed for $1$ week.Furthermore, the library employs several staff members, each having a staff ID$,$ name, position, and salary. Staff members are responsible for managing the borrowing process and maintaining the librarys inventory.Finally, the library organizes events such as book readings or educational workshops, where each event has a unique event ID$,$ name, date, and associated staff member who organizes it$..$ a$.$Draw the conceptual schema $($i$.$e$.,$ the ER diagram$)$ for this application. b$.$Show all the functional dependencies that should hold among the attributes. c$.$Draw the relational schemas for the database that are each in Third Normal Form $(3$NF$)$