The Optimal Solution to the Problem: Minimize $f\left(X_{1}, X_{2}\right)=2 X_{1}^{2}-12 X_{1}+2 X_{1} X_{2}+X_{2}^{2}-4 X_{2}+160$

Multiple Choice

The optimal solution to the problem: Minimize : $f\left(X_{1}, X_{2}\right) =2 X_{1}^{2}-12 X_{1}+2 X_{1} X_{2}+X_{2}^{2}-4 X_{2}+160$ is

A) $X_{1}=2, X_{2}=0$
B) $X_{1}=4, X_{2}=-4$
C) $X_{1}=4, X_{2}=-2$
D) $X_{1}=-3, X_{2}=4$