Given the objective function y = f(x1, x2 ... xn second order and the constraint g(x1, x2 ..... xn = 0, the condition for an extremum is:

A. |H̅2| < 0 |H̅3| < 0 ....... for a maximum

B. |H̅2| > 0 |H̅3| < 0 ....... for a maximum

C. |H̅2| < 0 |H̅3| > 0 ....... for a maximum

D. |H̅2| < 0 |H̅3| > 0 ........ for a minimum

E. |H̅2| < 0 |H̅3| < 0 ........ for a minimum

Choose the correct answer from the options given below:

1
A & D Only
2
C & E Only
3
B & D Only
4
B & E Only

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