7. Consider the following set of inequalities: 2xI + 3X2:::; 12 -3Xl + 2x2 :::; -4 3Xl...

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7. Consider the following set of inequalities:

2xI + 3X2:::; 12

-3Xl + 2x2 :::; -4 3Xl - 5x2:::; 2 Xl unrestricted X2 ~ 0 A feasible solution can be found by augmenting the trivial objective function Maximize Z = XI + X2 and then solving the problem. Another way is to solve the dual; from which a solution for the set of inequalities can be found. Apply the two methods.

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