If the primal lp problem has a finite solution, then the dual lp problem should have
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✨If the Primal problem is feasible, but unbounded in the direction of optimisation, then the dual has no feasible solution. Otherwise, if the Primal problem has an optimal solution, then the dual has also an optimal solution.
So the answer for your question is that feasibility of the Primal problem does not imply optimality for the Dual problem. It just excludes the possibility that the Dual will be unbounded in the direction of optimisation.✨
Answer:
The dual has no possible solution if the Primal issue is feasible but unbounded in the direction of optimization. In the alternative, if the Dual problem also has an optimal solution, then the Primal problem does as well.
Therefore, the feasibility of the Primal problem does not automatically imply optimality for the Dual problem, which is the answer to your query. Just the potential of the Dual being unbounded in the direction of optimization is disregarded.
Every LP problem has a perfect answer: not essential
There may be restrictions. such that no solution can satisfy all requirements
An LP problem's ideal solution always takes place at an extreme.
- True, but it can also happen at other times.
In the ideal solution, every resource is fully used.
Not Required
There will always be at least one optimum solution available at a corner if one exists.
- True
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