Question: A three-dimensional LP solution space is shown in Figure 1 below, whose 10 extreme points are A(0,0,0),B(1,0,0),C(0,1,0),D(0,0,1),E(1,1,0),F(0,1,1),G(1,0,1),H(1,0.5,1),I (1,1,0.5), and J(0.5,1,1). The objective function of this

A three-dimensional LP solution space is shown in Figure 1 below, whose 10 extreme points are A(0,0,0),B(1,0,0),C(0,1,0),D(0,0,1),E(1,1,0),F(0,1,1),G(1,0,1),H(1,0.5,1),I (1,1,0.5), and J(0.5,1,1). The objective function of this LP problem is: max2x1+7x2+ 2x3. Suppose the simplex iterations start at A, what are possible paths for the simplex algorithm? Why? Figure 1. A Three-Dimensional LP Solution Space

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