Formulate the following queries in Relational Algebra on the Company Relational Data Model:

1. Find the name of the project that is worked on by the most number of employees.
2. Find the name of department(s) in which all (every single one) employees in the department have a (at least one) dependent
3. Find the name of projects that is not worked on by any employee in the department that controls the project.

Answers should use simple relational algebra operations! Such as these: https://www.guru99.com/relational-algebra-dbms.html

1. Company Database In class, we have discussed the following Relational Data Model in detail and have used it to practice on Relational Algebra queries: employee fname minit Iname SSN bdate address sex salary superSSN DNO department dname dnumber mgrSSN mgrStartDate department loc dnumber dlocation project pname pnumber plocation dnum works on no hours attr primary key foreign key SSN foreign key dependent ESSN dep_name sex bdate relationship