Consider the LP: Maximize z = 20x1 + 10x2 + x3 Subject to 3x1 - 3x2 +

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Consider the LP:

Maximize z = 20x1 + 10x2 + x3

Subject to

3x1 - 3x2 + 5x3 ‰¤ 50

X1 + x3 ‰¤ 10

X1 - x2 + 4x3 ‰¤ 20

X1, x2, x3 ‰¥ 0

Consider the LP:
Maximize z = 20x1 + 10x2 + x3
Subject

FIGURE 3.10

LP unbounded solution in Example 3.5-3

(a) By inspecting the constraints, determine the direction (X1. X2, or X3) in which the solution space is unbounded.

(b) Without further computations, what can you conclude regarding the optimum objective value?

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