f p is unbounded, it is possible to change its right-hand-side and make it have a finite optimum. true or false?
The statement “if the feasible set is unbounded, changing its right side can cause it to have a limited optimum” is FALSE.
What is a feasible unbounded set?
We can have bounded or unbounded feasible sets. For instance, the feasible set described by the constraint set “(x ≥ 0, y ≥0)” is unbounded since there is no upper bound on the distance that one can travel while still being in the feasible area.
Noting that (0,0) fulfills all of the inequalities is an easy fix.
The only solution, then, is the first graph on line 2.
Please take note that the feasible set is bounded.
With an unbound optimal solution, the feasible region essentially reaches infinity and the optimal solution is not constrained by the constraints. Resolution: This is quite uncommon in real life.
Therefore, the statement “if p is unbounded, changing its right side can cause it to have a limited optimum” is FALSE.
What is a feasible unbounded set?