Write the Relational Algebra (RA), Tuple Relational Calculus (TRC), and Domain Relational Calculus (DRC) to answer each of the following queries. Note that some of these queries might not be expressible in Relational Algebra or Relational Calculus. For such queries, informally explain why they cannot be expressed.
2) (45 pts) Consider the following relational schema:
Factory(fid, fname, region)
Suppliers (sid, sname, region, commission)
Parts (pid, pname, color)
Catalog (sid, pid, cost)
a. Find the names of suppliers that provide "Car_part", i.e., with pname = "Car_part".
b. Identify the factories that are in the same region as that of a supplier whose commission is less than 10%.
c. Find the names of the suppliers who supply the largest number of parts.