Attic advantages

This simple example highlights the following advantages of the Attic method and how it differs from the Simplex method ... 

In a convex space, every vertex or feasible point can be joined by a straight line to the solution. Often, such a line must leave one or more constraints that the working point is lying on and pass through the attic to achieve the solution the Attic method leaves one or more constraints when it is advantageous, while the Simplex method cannot. 

To understand how the Attic method works and the advantages it offers, the previous problems (10.33) and (10.34) are solved below, starting from the point Xi = X2 = 0 (see Figure 10.1). 

---