Problem #1, MPL Code
!Formulation using MPL
		  INDEX
DATA
VARIABLES 
		  x1;
		  x2;
MACROS
MODEL 
		  min -x1;
		  SUBJECT TO 
		  x1 + x2 -1 <=0;
		  -x2 <=0;
BOUNDS
FREE
		  x1 x2;
BINARY
END
		  ! Note: This formulation will produce duals with values -1, -1 (sign convention issue)!
		  ! to get values of 1,1, you should change the constraints to be:
		  ! -x1 - x2 +1 >=0; x2 >=0;

