For the solution space in Figure 3.4, all the constraints are of the type and all

Question:

For the solution space in Figure 3.4, all the constraints are of the type ≤ and all the variables X1, X2, and X3 are nonnegative. Suppose that S1, S2, 3, and S4 (≥ 0) are the slacks associated with constraints represented by the planes CEIJF, BEIHG, DFJHG, and IJH, respectively. Identify the basic and non-basic variables associated with each feasible extreme point of the solution space.

A: (0,0, 0) B: (1,0,0) C: (0, 1, 0) D: (0, 0, 1)