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.
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