FACTOID #151: The five countries with the highest coffee consumption are also the five countries whose citizens trust one another the most. Coincidence? Probably.
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In the linear case, in the primal problem, from each sub-optimal point that satisfies all the constraints, there is a direction or subspace of directions to move that increases the objective function.
In the dualproblem, the dual vector multiplies the constants that determine the positions of the constraints in the primary.
Varying the dual vector in the dualproblem is equivalent to revising the upper bounds in the primal problem.