Exercise 6.6.1: This and the next exercises involve certain programs that operate on the two relations Product(maker, model, type) PC(model, speed, ram, hd, price) from our running PC exercise. Sketch the following programs, including SQL statements and work done in a conventional language. Do not forget to issue BEGIN TRANSACTION, COMMIT, and ROLLBACK statements at the proper times and to tell the system your transactions are read-only if they are. a) Given a speed and amount of RAM (as arguments of the function), look up the PCs with that speed and RAM, printing the model number and price of each. b) Given a model number, delete the tuple for that model from both PC and Product. c) Given a model number, decrease the price of that model PC by $100. d) Given a maker, model number, processor speed, RAM size, hard-disk size, and price, check that there is no product with that model. If there is such a model, print an error message for the user. If no such model existed in the database, enter the information about that model into the PC and Product tables.