minimize Total_Cost: 120*Trans['Amsterdam','Leipzig'] + 41*Trans['Amsterdam','Liege'] + 59.5*Trans['Amsterdam','Tilburg'] + 130*Trans['Amsterdam','Nancy'] + 120*Trans['The Hague','Leipzig'] + 122*Trans['The Hague','Liege'] + 42*Trans['The Hague','Tilburg'] + 90*Trans['The Hague','Nancy'] + 61*Trans['Antwerp','Leipzig'] + 100*Trans['Antwerp','Liege'] + 110*Trans['Antwerp','Tilburg'] + 40*Trans['Antwerp','Nancy']; s.t. Supply['Amsterdam']: Trans['Amsterdam','Leipzig'] + Trans['Amsterdam','Liege'] + Trans['Amsterdam','Tilburg'] + Trans['Amsterdam','Nancy'] <= 500; s.t. Supply['The Hague']: Trans['The Hague','Leipzig'] + Trans['The Hague','Liege'] + Trans['The Hague','Tilburg'] + Trans['The Hague','Nancy'] <= 800; s.t. Supply['Antwerp']: Trans['Antwerp','Leipzig'] + Trans['Antwerp','Liege'] + Trans['Antwerp','Tilburg'] + Trans['Antwerp','Nancy'] <= 700; s.t. Demand['Leipzig']: Trans['Amsterdam','Leipzig'] + Trans['The Hague','Leipzig'] + Trans['Antwerp','Leipzig'] >= 400; s.t. Demand['Liege']: Trans['Amsterdam','Liege'] + Trans['The Hague','Liege'] + Trans['Antwerp','Liege'] >= 200; s.t. Demand['Tilburg']: Trans['Amsterdam','Tilburg'] + Trans['The Hague','Tilburg'] + Trans['Antwerp','Tilburg'] >= 500; s.t. Demand['Nancy']: Trans['Amsterdam','Nancy'] + Trans['The Hague','Nancy'] + Trans['Antwerp','Nancy'] >= 900;