model:
min = d1_ + d2_ + d3_ + d4_ + d5_ + d6_;
x11 + x21 + x41 + x51 <= 1500;
x22 + x32 + x52 + x62 <= 1500;
x13 + x33 + x43 + x63 <= 1500;
x14 + x34 + x44 + x64 <= 1500;
x25 + x35 + x55 + x65 <= 1500;
x36 + x66 <= 1500;
x11 + x13 + x14 + d1_ - d1 = 1000;
x21 + x22 + x25 + d2_ - d2 = 2000;
x32 + x33 + x34 + x35 + x36 + d3_ - d3 = 1500;
x41 + x43 + x44 + d4_ - d4 = 2000;
x51 + x52 + x55 + d5_ - d5 = 1000;
x62 + x63 + x64 + x65 + x66 + d6_ - d6 = 1000; 
@gin(x11);@gin(x13);@gin(x14);
@gin(x21);@gin(x22);@gin(x25);
@gin(x32);@gin(x33);@gin(x34);@gin(x35);@gin(x36);
@gin(x41);@gin(x43);@gin(x44);
@gin(x51);@gin(x52);@gin(x55);
@gin(x62);@gin(x63);@gin(x64);@gin(x65);@gin(x66);
end




model:
min = d7_;
x11 + x21 + x41 + x51 <= 1500;
x22 + x32 + x52 + x62 <= 1500;
x13 + x33 + x43 + x63 <= 1500;
x14 + x34 + x44 + x64 <= 1500;
x25 + x35 + x55 + x65 <= 1500;
x36 + x66 <= 1500;
x11 + x13 + x14 + d1_ - d1 = 1000;
x21 + x22 + x25 + d2_ - d2 = 2000;
x32 + x33 + x34 + x35 + x36 + d3_ - d3 = 1500;
x41 + x43 + x44 + d4_ - d4 = 2000;
x51 + x52 + x55 + d5_ - d5 = 1000;
x62 + x63 + x64 + x65 + x66 + d6_ - d6 = 1000; 
x11 + x41 + x22 + x52 + x13 + x43 + x34 + x64 + 
x35 + x65 +x36 + x66 + d7_ - d7 = 8000;
d1_ = 0;d2_ = 0;d3_ = 0;d4_ = 0;d5_ = 0;d6_ = 0;
@gin(x11);@gin(x13);@gin(x14);
@gin(x21);@gin(x22);@gin(x25);
@gin(x32);@gin(x33);@gin(x34);@gin(x35);@gin(x36);
@gin(x41);@gin(x43);@gin(x44);
@gin(x51);@gin(x52);@gin(x55);
@gin(x62);@gin(x63);@gin(x64);@gin(x65);@gin(x66);
end




model:
min = d8_;
x11 + x21 + x41 + x51 <= 1500;
x22 + x32 + x52 + x62 <= 1500;
x13 + x33 + x43 + x63 <= 1500;
x14 + x34 + x44 + x64 <= 1500;
x25 + x35 + x55 + x65 <= 1500;
x36 + x66 <= 1500;
x11 + x13 + x14 + d1_ - d1 = 1000;
x21 + x22 + x25 + d2_ - d2 = 2000;
x32 + x33 + x34 + x35 + x36 + d3_ - d3 = 1500;
x41 + x43 + x44 + d4_ - d4 = 2000;
x51 + x52 + x55 + d5_ - d5 = 1000;
x62 + x63 + x64 + x65 + x66 + d6_ - d6 = 1000; 
x11 + x41 + x22 + x52 + x13 + x43 + x34 + x64 + x35 + x65 + 
x36 + x66 + d7_ - d7 = 8000;
x11 + x21 + +x22 + x32 + x43 + x63 + x44 + x64 + x25 + x35 + 
x66 + d8_ - d8 = 8000;
d1_ = 0;d2_ = 0;d3_ = 0;d4_ = 0;d5_ = 0;d6_ = 0;d7_ = 500;
@gin(x11);@gin(x13);@gin(x14);
@gin(x21);@gin(x22);@gin(x25);
@gin(x32);@gin(x33);@gin(x34);@gin(x35);@gin(x36);
@gin(x41);@gin(x43);@gin(x44);
@gin(x51);@gin(x52);@gin(x55);
@gin(x62);@gin(x63);@gin(x64);@gin(x65);@gin(x66);
end
