The first constraint is

To turn it into an equation, we must add a slack variable s to the left-hand side, getting

The next constraint is

and we must subtract the surplus variable t to the left-hand side, getting

The last constraint is

and we must subtract the surplus variable u to the left-hand side, getting

Finally, the objective is

We must subtract 2x + 3y + z from both sides to get the desired equation:


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