Develop a Java application which implements an application for a store chain that has three types of stores which are Book, Music, and Movie stores.

Your application should have an Item abstract class which should be extended by the Book and Multimedia classes. Item class has abstract priceAfterTax method, you need to implement this method in derived classes. Multimedia class is a superclass for Music and Movie classes. Your project should also include the IPromotion interface, which should be implemented by Book and Movie classes. Also, your application should have the Lookup class (which is provided in part in this document). Lookup class works as the datastore: it contains all the various items available - books, movies, music items - as well as the list of users.

In your main class you should initiate a lookup object in the main method. You also need to include a User class which has the fields and the methods shown for that class in the class diagram. User class has a library of items; once a user downloads or purchases any item, you should add this item to that users library. If the user just plays music or watches a movie you should not add this item to the users library.