Answer :
The message indicates that Excel's Solver has found an optimal solution within set constraints; however, it's imperative to review the result as Solver can stop at a local or global optimum based on its algorithm and may not always provide a perfect solution. for hence, option a) A local optimal solution has been found is the correct answer.
When the message Solver found a solution. All constraints and optimality conditions are satisfied, appears, it means that Solver, a tool in Excel, has found a solution that it believes to be optimal within the constraints defined. The accuracy of this finding can vary based on the algorithm Solver uses. For instance, when it uses the GRG (Generalized Reduced Gradient) engine, it likely has found at least a local optimal solution. In contrast, when the Simplex LP (Linear Programming) method is used, Solver may have found a global optimal solution.
Nevertheless, Solver is not perfect, and while it is a powerful optimization tool, its results should not be accepted without scrutiny. It's valuable to remember that Solver may stop searching for a better solution once it cannot make significant improvements, a decision regulated by the convergence criterion which users can adjust. Always examine Solver's results carefully and consider if they make sense within the context of the problem at hand. for hence, option a) A local optimal solution has been found is the correct answer.
