Consider the following schema: SUPPLIERS (SID: integer, SNAME: string, ADDRESS: string) PARTS (PID: integer, PNAME :string, COLOR: string) CATALOG (SID: integer, PID: integer, COST: real) The key fields are underlined, and the domain of each field is listed after the field name. Thus, SID is the key for SUPPLIERS, PID is the key for PARTS, and SID and PID together form the key for CATALOG. The CATALOG relation lists the prices charged for parts by suppliers. CATALOG.SID is a foreign key referring to SUPPLIERS.SID and CATALOG.PID is a foreign key referring to PARTS.PID. Write the following queries in SQL a. List the average costs of parts of different colors (average cost of red parts, average cost of blue parts, etc.). b. The supplier with SID 10 bought over the business of the supplier with SID 12. So now supplier 10 supplies both of their parts, and supplier 12 is gone. Write one or more queries to reflect this fact in the database. c. List the SIDS and names of suppliers, and the number of parts they supply, sorted in the descending order of the number of parts they supply d. List the SID and names of all suppliers who supply no part costing more than 1000. A supplier must not appear more than once in the list. e. List the SIDS of all suppliers who supply only red parts and no other colored parts.