fx B C D E LL F G H 1 2 ICC 3 Total 4 1 2 3 4 Weight Max Weight Total Max Volume Volume 5 Forward 3000 145000 6 Center 6000 180000 7 Rear 4000 155000 8 Loaded 9 Available 4800 2500 1200 1700 10 Volume/ton 40 25 60 55 11 Profit/ton $70.0 $50.0 $60.0 $80.0 12 13 Total Profit 14 15 Weight Balance Constraints 16 min max 17 Forward 0 0 within 10% of rear 18 Center 0 0 between 40 to 60% of total 19 20 Binary Variables 1 2 3 4 Sum 21 Forward Center Rear 24 26 Linking Constraints Forward 27 29 30 31 34 36 37 222222222223583333538 39 Center Rear F 2 3 4