Consider the following database for an investment firm, consisting of the following attributes: B (broker), O (office of a broker), I (investor), S (stock), Q (quantity of stock owned by an investor), and D (dividend paid by a stock), with the following functional dependencies F : F={SD,IB,ISQ,BO,IO} A. (4 points) State all candidate keys for R(B,O,S,Q,I,D). Justify your answer. B. (8 points) Give a lossless join decomposition of R into BCNF. State the schema, key and projected dependencies for each decomposed relation. Explain how you arrive at the decomposition, and justify whether or not your decomposition preserves dependencies. C. (8 points) Give a lossless join, dependency preserving decomposition of R into 3NF. State the schema, key and projected dependencies for each decomposed relation. Explain how you arrive at the decomposition