Reduce the domains so as to achieve bounds completeness -, Finance Basics

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Reduce the domains so as to achieve bounds completeness -

Consider the constraint set C consisting of the equation x₁+x₂ = 2x₃ and domains x_j ∈ {0, 1, 2, 3, 4, 5} for j = 1, 2, 3.

Reduce the domains so as to achieve bounds completeness.

Reduce them further to achieve domain completeness.

Add to C one or more 2-variable inequalities that, together with the reduced domains, make the set 2-complete.

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