Answer :
Final Answer
No, the solver may not automatically indicate infeasibility if an LP problem is not correctly formulated.
Explanation
In linear programming (LP), the solver relies on the formulation of the problem to find an optimal solution. If the formulation is incorrect or inconsistent, the solver may not necessarily detect infeasibility automatically. Infeasibility occurs when there is no feasible solution that satisfies all the constraints of the problem. The solver may attempt to find a solution, but it might not explicitly identify infeasibility unless it encounters a contradiction during the solving process.
When the LP problem is not correctly formulated, it can lead to mathematical inconsistencies or an unbounded solution space. The solver, however, may proceed with its algorithm without explicitly recognizing these issues. It is crucial for the user to carefully formulate the LP problem, ensuring that all constraints and objective functions are correctly defined. Even if the solver doesn't indicate infeasibility automatically, a careful examination of the results and a validation of the formulation are necessary to ensure the obtained solution is meaningful.
In summary, the solver may not automatically highlight infeasibility if the LP problem is not correctly formulated. Users should exercise diligence in formulating LP problems accurately to obtain meaningful and valid results.
