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Any ideas how to solve the following problem:

$$Minimize: |F(x,y)|+|G(x,y)|$$ s.t. $x<A, y<B$

where $$F(x,y)=ax^2+by^2+cx+dy+e$$ $$G(x,y)=fx^2+gy^2+hx+iy+j$$

and $A,B$ are known constants.

Any help would be appreciated.

1 Answers 1