Author: Yousef Aloufi (CHEME 6800 Fall 2021)
minimize f ( x ) = y 1 + y 2 + ( x 1 ) 2 + ( x 2 ) 2 {\displaystyle f(x)=y_{1}+y_{2}+{\big (}x_{1}{\big )}^{2}+{\big (}x_{2}{\big )}^{2}}
subject to ( x 1 − 2 ) 2 − x 2 ≤ 0 {\displaystyle {\big (}x_{1}-2{\big )}^{2}-x_{2}\leq 0}
x 1 − 2 y 1 ≥ 0 {\displaystyle x_{1}-2y_{1}\geq 0}
