Product (maker, model, type) . PC(model, speed, ram, hd, price) Laptop(model, speed, ram, hd, screen, price) Printer(model, color, type, price) Write the SQL statement and draw the optimized relational algebra query execution tree for each of the following queries (10 points/SQL 10 points/query tree): 1. What makers produce Laptops with screen larger than 15' that are cheaper than $1,000? 2. What makers produce PCs or Laptops, but do not produce Printers? 3. How many makers produce each type of product? 4. For each maker who produces PCs with more than 4 GB of ram, find the average price of these PCs with more than 4 GB of RAM) 5. For all the makers that produce PCs, Laptops, and Printers, find the minimum price of a package that includes a PC, a Laptop, and a Printer. 6. Out of all the makers that produce PCs, find the cheapest Laptop sold by them. 7. Find the maker that sells the most expensive PC and also sells Printers