Solve the integer knapsack problem max 1 0 x 1 1 2 x 2 7 x 3 3 2 x 4 4 x 1 5 x 2 3 x 3 1 x 4 1 0 x 1 , x 2 i n Z 1 , x 3 , x 4 i n 0 , 1 by branch and bound

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Solve the integer knapsack problem: max 1 0 x 1 + 1 2 x 2 + 7 x 3 + 3 2 x 4 4

Solve the integer knapsack problem:

max $10 x_{1} + 12 x_{2} + 7 x_{3} + \frac{3}{2} x_{4}$

$4 x_{1} + 5 x_{2} + 3 x_{3} + 1 x_{4} 10$

$x_{1}, x_{2} i n Z_{+}^{1}, x_{3}, x_{4} i n {0, 1}$

by branch $-$ and $-$ bound.

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Solve the integer knapsack problem: max 1 0 x 1 + 1 2 x 2 + 7 x 3 + 3 2 x 4 4