* Consider the integer program: s.t. max 4x1 - x2 7x1 - 2x2 14 2x1 2x2 <3 X23 x1, x2 € Z+. 1. Solve the problem by the brute force method (evaluation of all feasible solutions). 2. Solve the problem by the graphical method. 3. Solve the LP relaxation of the problem and round off the solution. Is the round-off solution an optimal solution of the original IP problem? To solve the LP relaxation, use either the simplex method (and show your steps) or any available software and explain what you used. Do not use the graphical method.

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