Question: 3. Consider the following optimization problem: MAX: X1 + X2 Subject to: -4X1 + 4X2 = 1 -8X1 + 10X2 > 15 X1, X2 >

3. Consider the following optimization problem:

3. Consider the following optimization problem: MAX: X1 + X2 Subject to: -4X1 + 4X2 = 1 -8X1 + 10X2 > 15 X1, X2 > 0 a. What is the optimal solution to the problem? b. Now suppose that X and X2 must be integers. What is the optimal solution? c. What general principle of integer programming is illustrated by this

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