The following entity-relationship (ER) diagram models a database that helps car deal- ers maintain records of customers and cars in their inventory. Construct a relational database schema from the ER diagram. Your set of schemas should include primary-key and foreign-key constraints and you should ensure there are no redundant schemas. has_model model modelID name vehicle has_vehicle VIN dealer_ID brand name has_available_option has_option has_dealer options options_ID specification dealer dealer ID name customer_ID owned_by customer customer ID name

A relation schema R = (A, B, C, D, E) with a set of functional dependencies F= {D A CAB} is decomposed into R₁ = (A, B, C) and R2 = (C, D, E). (a) Is this a lossless-join decomposition? Why or why not? (b) Is the decomposition dependency preserving? Why or why not?

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