max c'x s.t.  Ax<= b and each element of x is either 0 or 1

c=[-2;-3;-2;-4;1;-6;-2;1];
A=[1 1 0 0 1 0 0 0;
   0 0 1 1 0 1 0 0;
   1 0 1 0 0 0 1 0;
   0 1 0 1 0 0 0 1;
   -1 0 0 0 0 0 0 0;
   0 -1 0 0 0 0 0 0;
   0 0 -1 0 0 0 0 0;
   0 0 0 -1 0 0 0 0;
   0 0 0 0 -1 0 0 0;
   0 0 0 0 0 -1 0 0;
   0 0 0 0 0 0 -1 0;
   0 0 0 0 0 0 0 -1];
b=[1;1;1;1;0;0;0;0;0;0;0;0];