(5pt) Consider the relation R(MODEL#, YEAR, PRICE, MANUFACTURER, COLOR), which is abbreviated as R (M, Y, P, N, C), and the following set of F of functional dependencies: F-M->N, MY] > P, N > C) a. Evaluate each of the following as a candidate key for R, giving reasons b. Based on the above key determination, state whether the relation R is in c. Consider the decomposition of R into D-IR1M,Y,P), R2(M,N,C)). Is this d. Consider the same decomposition in (c). Does this decomposition preserve why it can or cannot be a key: M, M.Y], M.C 3NF and in BCNF, giving proper reasons decomposition lossless? Show why dependencies? Show why