Question

If the value of a dual variable corresponding to a resource constraint is zero, is it economical to acquire additional units of that resource?

Answer 1

Answer:

A zero value of a Dual variable indicates that its associated resources are abundant (unused). The resultant value of all non-zero Dual variables i.e., the Total Worth or the Reduced costs of all the resources fully used equals the Input value required to yield a unit of Primal Decision variable.

Answer 2

Step-by-step explanation:

Primal unbounded, dual unbounded is impossible: As seen above, if the primal is unbounded, then the dual is infeasible. Primal unbounded, dual infeasible is possible: Example is c = (1), b = (0) and A = (0).