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Consider the following relational schema of the company’s database. Use Tuple Relational Calculus (TRC) & Domain...

Consider the following relational schema of the company’s database. Use Tuple Relational Calculus (TRC) & Domain Relational Calculus (DRC) expression to answer each of the following three questions (Step by step brief description is appreciated if possible)

PRODUCT (pid, stock, supplier)

CLIENT (cid, name, address, city)

ORDER (orderno, date, quantity, pid, cid)

Question 1: Find the number of orders for products that are being ordered in quantities smaller than 100 items by customers living in Madrid. Provide solutions expressed both in relational algebra as well as in relational calculus.

Question 2: Find the names and addresses of customers that order products for which there is no stock. Provide solutions expressed both in relational algebra as well as in relational calculus.

Question 3: Find the cities where customers who do not order any product supplied by AB live. Provide solutions expressed both in relational algebra as well as in relational calculus.

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