Question: Consider a nonlinear optimization model without any constraint. State whether the following is TRUE or FALSE and explain your reasoning briefly a) A local minimum

Consider a nonlinear optimization model without any constraint. State whether the following is TRUE or FALSE and explain your reasoning briefly

a) A local minimum can have an objective function value less than a local maximums objective function value.

b) A global maximum can have an objective function value less than a local maximums objective function value.

c) A local maximum can have an objective function value more than a global minimums objective function value

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