Given
the following constrained problem:
ext{min} (2x-5)^2 + (2y+1)^2
x^2 + y^2 \leq 9
x \geq 0 y \geq 0

Question

Given
the following constrained problem: 
  	ext{min} (2x-5)^2 + (2y+1)^2  
   x^2 + y^2 \leq 9  
   x \geq 0     y \geq 0

Answer

The point (5/2,0) is an optimum
because it satisfies the KKT conditions, and the Hessian is a positive definite
matrix.

Answer

The point (5/2,0) is
not an optimum because it does not satisfy the KKT conditions.

Answer

The point (5/2,0)
is not an optimum because it satisfies the KKT conditions, but the Hessian is
not positive definite.

Answer

None of the other options.

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