Answer the following statement(s) true (T) or false (F)
1. A feasible solution is a global optimum if no other feasible solutions with a better objective function value are found in the immediate neighborhood.
2. A feasible solution is a global optimum if no other feasible points with a better objective function value are found in the feasible region.
3. For a typical nonlinear problem, if you change the right-hand side by even a small amount, the dual value changes.
4. The interpretation of the dual price for nonlinear models is different than the interpretation of the dual price for linear models.
5. In the case of functions with multiple local optima, most nonlinear optimization software methods can get stuck and terminate at a local optimum.
1. False
2. True
3. False
4. False
5. True
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Indicate whether the statement is true or false