Solve the following Boolean integer programme using logical inequalities: 2x1 + 7×2 - X3 + 3x4 max s.t. 5x1 - 2x2 + 3x3 2x4 ≤ 1 -2x1 + 5x3 - 4×4 ≤ 0 -x1 + x2 + 2×4 ≤ 1 X1, X2, X3, X4 E {0, 1}. Explain how you derived the new inequalities and how you used them.

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