For each of the given objective functions and the solution space in Figure 3.16, select the nonbasic

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For each of the given objective functions and the solution space in Figure 3.16, select the nonbasic variable that leads to the next simplex corner point, and determine the associated improvement in z.

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(a) Maximize z = x1 - 2x2 + 3x3

(b) Maximize z = 5x1 + 2x2 + 4x3

(c) Maximize z = -2x1 + 7x2 + 2x3

(d) Maximize z = x1 + x2 + x3

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