Product(pid, name, type, manufacturer, price), Buys(cid, pid), Customer(cid, cname, age, gender) a) Write the following query in relational algebra. Find the names of all customers who have purchased all products manufactured by Sears. b) Write the following query in SQL. Find the names of all customers who have not purchased the most expensive product c) Write the following query in SQL. Find the names and cids of all customers who have purchased the second most expensive product. You can assume that no two products have the same prices.

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Chapter8: Sql Functions And Procedures
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Consider the following schema (keys are in Bold):

Product(pid, name, type, manufacturer, price), Buys(cid, pid), Customer(cid, cname, age, gender)

a) Write the following query in relational algebra. Find the names of all customers who have purchased all products manufactured by Sears.

b) Write the following query in SQL. Find the names of all customers who have not purchased the most expensive product

c) Write the following query in SQL. Find the names and cids of all customers who have purchased the second most expensive product. You can assume that no two products have the same prices.

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