At a minimum, you will need to study the dual problem and its economic interpretation (Sections 4.1,4.2,and 4.3). The mathematical definition of the dual problem in Section 4.1 is purely abstract. Yet, when you study Section 4.3, you will see that the dual problem leads to intriguing economic interpretations of the LP model, including dual prices and reduced costs. It also provides the foundation for the development of the new dual simplex algorithm, a prerequisite for post-optimalan alysis. The dual simplex algorithm is also needed for integer programming in Chapter 9.