Write the following queries in relational algebra, using the schema below, where the primary keys are bolded.

employee (eid, ename, street, city)

company (cid, cname, city)

works (eid, cid, salary)

manages (eid, manager_id)

(note: manager_id is a foreign key referencing eid in employee relation. In other words, managers are also employees.)

a. Find the ids, names, street addresses, and cities of residence of all employees who work for First Bank Corporation and earn more than $10,000.

b. Find the ids and names of all employees who live in the same city as the company for which they work.

c. Find the pairs of employees who live on the same street and in the same city.

d. Find the name of Peter Parkers manager.