The given statement to this question is true
What is an optimal solution?
An acceptable solution where the objective function reaches its highest (or minimum) value, such as the most profit or the lowest cost, is referred to as an optimal solution. When there are no other practical solutions with superior objective function values, the solution is said to be globally optimal.
Here, we have
The global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution to a nonlinear programming problem.
Because when own linear model is solved this solution is merely local optimum.
The solver should consider that other local optimum Amy does not exist with better object values. The globally optimal solution is one where there are no feasible solutions with a better objective function.
However many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions. The local optimum point is the true optimal solution for the nonlinear programming model.
Hence, the given statement to this question is true.
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