Linear Programming Samples

Uncompatible constraints Sample

Lets consider a linnear programming as follows
Maximize (x + 3y)
Subject to
x + y ≤ 4
x + y ≤ 1
x - y ≥ 2
x, y ≥ 0
The feasible region has the form



That is, the set of feasible set is the empty set. There are not any point satisfying all restrictions, so we have an incompatibility restrictions problem.

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