In a simple database, there are six (6) tables. The database keeps track of restaurants, their owners, customers and their favorite foods. In particular, an owner can own several restaurants. In each restaurant different types of foods are served. Different customers of the restaurant like different types of foods. The database schema is as follows:

Provide a relational algebra for the following queries:

a) List the name of the restaurants whose owners live in Baton Rouge.

b) List the name of owners whose restaurants serve food type A.

DATABASE: RESTAURANT (Restaurant_name[pk], City, Phone, Owner_SSN [fk]) FOOD (Food_name[pk], Type, Country) CUST (SSN(pk], Name, Birth_year, Fav_food[fk], Gender) LIKES (SSN [fk], Food[fk]). SERVES (Restaurant[fk], Food[fk]) OWNER (SSN [pk], Name, City, Address, Phone)