4. Consider the following LP: Maximize z = 2xI + 3X2 + 5x3 subject to -6xI +...

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4. Consider the following LP:

Maximize z = 2xI + 3X2 + 5x3 subject to

-6xI + 7X2 - 9x3 ?:: 4 Xl + X2 + 4x3 = 10 X2 unrestricted Conversion to the equation form involves using the substitution X2 = xi - x!- Show that a basic solution cannot include both x2 and xi simultaneously.

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