Question: If a nonlinear programming problem has no constraints, the objective function being concave guarantees that a local maximum is a global maximum. Show that

If a nonlinear programming problem has no constraints, the objective function being

If a nonlinear programming problem has no constraints, the objective function being concave guarantees that a local maximum is a global maximum. Show that the objective function Z is concave. Z=126x1-9x1 ^2 +2x2 - 4x2 ^2.

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