6. Solve the following problems by the fractional cut, and compare the true optimum integer solution with
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6. Solve the following problems by the fractional cut, and compare the true optimum integer solution with the solution obtained by rounding the continuous optimum.
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(a) Maximize z = 4XI + 6X2 + 2X3 subject to 4xI - 4X2 s: 5
-Xl + 6X2 ::s 5
- Xl + X2 + X3 ::s 5 Xl> X2, X3 ~ 0 and integer
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