Considering the following non-linear program:

Question

Answer

(5,0) Satisfies the first order necessary conditions but not the second order sufficient conditions to ensure a local minimum

Answer

(5,0) Satisfies the first order necessary conditions and the second order sufficient conditions to ensure a local maximum

Answer

(10,0) Satisfies the first order necessary conditions and the second order sufficient conditions to ensure a local maximum

Answer

(10,0) Satisfies the first order necessary conditions but not the second order sufficient conditions to ensure a local minimum

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