Final answer:
Nonlinear optimization problems in Excel Solver often result in local solutions due to incorrect initial guess, Solver limitations, linear constraints, and computational errors.
Step-by-step explanation:
Nonlinear optimization problems in Excel Solver often result in local solutions due to various factors.
One reason for getting only local solutions is due to incorrect initial guess. If the initial guess is far from the global optimum, the solver may converge to a local solution instead.
Another factor is Solver limitations. Excel Solver is designed for relatively simple optimization problems and may struggle to find global solutions for complex, nonlinear problems.
Linear constraints can also limit the search space for global solutions. Nonlinear optimization problems with linear constraints may have multiple local solutions.
Lastly, computational errors can also affect the accuracy of the solution. Small errors in calculations or numerical methods used by the solver can lead to local solutions instead of the global optimum.