Excel Solver can get stuck at a global optimum and never find the local optimum.Group of answer choicesTrueFalse

Answer Analysis

Excel Solver is an optimization tool used for solving linear and nonlinear problems. It utilizes mathematical algorithms to navigate through potential solutions.

1. Global Optimum vs. Local Optimum:

   • Global Optimum: The best possible solution over all feasible solutions.
   • Local Optimum: A solution that is better than neighboring solutions but not necessarily the best overall.

2. Solver Limitations:

   • If Excel Solver converges to a global optimum due to the nature of the problem or constraints, it may not explore nearby solutions, thus failing to find a local optimum in some cases.
   • However, generally, optimization techniques in Solver aim to identify the best solutions, making it less likely to get “stuck” at a local optimum without exploring options.

Conclusion

Based on the analysis, the statement that "Excel Solver can get stuck at a global optimum and never find the local optimum" is False. Excel Solver is designed to explore solutions thoroughly, although it may approach a local optimum in some situations but does not prevent it from possibly finding a global optimum.