*2. Consider the LP: Maximize z = 20XI + lOx2 + X3 subject to 3Xl - 3X2...

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*2. Consider the LP:

Maximize z = 20XI + lOx2 + X3 subject to 3Xl - 3X2 + 5X3 :$; 50 Xl + x3::; 10 Xl - X2 + 4x3 ::; 20

(a) By inspecting the constraints, determine the direction (XI. 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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