Suppose you are given the following business rules to form the basis for a database design. The database must enable the manager of a company dinner club to mail invitations to the club's members, to plan the meals, to keep track of who attends the dinners, and so on. Each dinner serves many members, and each member may attend many dinners. A member receives many invitations, and each invitation is mailed to many members. A dinner is based on a single entree, but an entree may be used as the basis for many dinners. For example, a dinner may be composed of a fish entree, rice, and corn; or the dinner may be composed of a fish entree, a baked potato, and string beans. A member may attend many dinners, and each dinner may be attended by many members. Because the manager is not a database expert, the first attempt at creating the database uses the structure shown in Table P6.7. a. Given the table structure illustrated in Table P6.7, write the relational schema and draw its dependency diagram. Label all transitive and/or partial dependencies. b. Break up the dependency diagram you drew in Problem 7a to produce dependency diagrams that are in 3NF, and write the relational schema