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Consider the following Linear Programming (LP) formulation: max 2x1 + 3x2 + 5x3 s.t. - 6x +7x29x3 4 = 10 x1 + x +

Consider the following Linear Programming (LP) formulation: max 2x1 + 3x2 + 5x3 s.t. - 6x +7x29x3 4 = 10 x1 + x + 4x3 X1, X3 >0 2 unrestricted. a. (5 pts) Put the LP in canonical form. (Hint: The conversion to the equation form involves using the substitution x2 = x x) b. (10 pts) Show that a basic solution cannot include both x and x simultaneously.

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