Create a UML Model for the scenario. Make an Extended UML by showing all relationship names, cardinalities and constraints.                                                                                                           

University has many Schools. The School in turn is divided into several Departments. Each Department offers various programs and each program contains many courses. Each Course may or may not have a prerequisite course. There is any kind of staff such as Manger, staff, and Teachers. Teachers can teach many different courses and even the same course numerous times. Courses can also be taught by many Teachers. A student can be either a graduate or an undergraduate student. A student is enrolled in only one program but a program can contain many students. Students can be enrolled in many courses at the same time and the courses have many students enrolled.