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.

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)

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

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