Question: What would the balance flow constraints be in this problem? INPUTS Location Capacity Demand Metric Supply 75,000 85,000 60,000 cars cars cars cars 50,000 90,000
What would the balance flow constraints be in this problem?


INPUTS Location Capacity Demand Metric Supply 75,000 85,000 60,000 cars cars cars cars 50,000 90,000 80,000 cars cars Toledo Charlotte Savannah Louisville Denver Phoenix Syracuse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City cars cars cars 30,000 35,000 45,000 20,000 35,000 25,000 25,000 cars cars cars cars Cost to ship each car To Transshipment Facility Louisville Denver Phoenix $ $ $ From Manufacturing Plant Toledo Charlotte Savannah 302.00 $ 473.00 $ 659.00 1,234.00 $ 1,560.00 $ 1,649.00 1,927.00 $ 2,089.00 $ 2,093.00 To Dealer Locations Syracuse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City AAN From Transhipment Facilities Louisville Denver Phoenix 677.00 $ 1,667.00 $ 2,343.00 767.00 $ 1,747.00 $ 2,043.00 2,086.00 $ 1,016.00 $ 373.00 2,301.00 $ 1,239.00 $ 1,335.00 298.00 $ 1,002.00 $ 1,753.00 507.00 $ 602.00 $ 1,207.00 1,579.00 $ 517.00 $ 657.00 $ $ $ $ $ $ $ RESULTS Decision Variables To Transshipment Facility Louisville Denver Pheonix From Manufacturing Plant Toledo Charlotte Savannah 25,000 30,000 25,000 25,000 40,000 10,000 25,000 15,000 25,000 To Dealer Locations Syraouse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City From Transhipment Facilities Louisville Denver Phoenix 5,000 20,000 5,000 10,000 5,000 20,000 2,500 25,000 12,500 16,000 6,000 5,000 4,000 4,000 25,000 10,000 15,000 10,000 2,500 15,000 5,000 Objective Function Total Cost Supply-Node Constraints Location Toledo Charlotte Savannah Outflow-inflow 75,000 85,000 60,000 MM Supply 75,000 85,000 60,000 Balance Flor Constraints Location Transshipment-Node Constraints Location Louisville 50,000 Denver 90,000 Phoenix 82,500 50,000 90,000 80,000 Demand-Node Constraints Location Syracuse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City Inflow-Outflow 30,000 35,000 40,000 27,000 33,000 35,000 22.500 N N N N N N N Demand 30,000 35,000 45,000 20,000 35,000 25,000 25,000 INPUTS Location Capacity Demand Metric Supply 75,000 85,000 60,000 cars cars cars cars 50,000 90,000 80,000 cars cars Toledo Charlotte Savannah Louisville Denver Phoenix Syracuse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City cars cars cars 30,000 35,000 45,000 20,000 35,000 25,000 25,000 cars cars cars cars Cost to ship each car To Transshipment Facility Louisville Denver Phoenix $ $ $ From Manufacturing Plant Toledo Charlotte Savannah 302.00 $ 473.00 $ 659.00 1,234.00 $ 1,560.00 $ 1,649.00 1,927.00 $ 2,089.00 $ 2,093.00 To Dealer Locations Syracuse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City AAN From Transhipment Facilities Louisville Denver Phoenix 677.00 $ 1,667.00 $ 2,343.00 767.00 $ 1,747.00 $ 2,043.00 2,086.00 $ 1,016.00 $ 373.00 2,301.00 $ 1,239.00 $ 1,335.00 298.00 $ 1,002.00 $ 1,753.00 507.00 $ 602.00 $ 1,207.00 1,579.00 $ 517.00 $ 657.00 $ $ $ $ $ $ $ RESULTS Decision Variables To Transshipment Facility Louisville Denver Pheonix From Manufacturing Plant Toledo Charlotte Savannah 25,000 30,000 25,000 25,000 40,000 10,000 25,000 15,000 25,000 To Dealer Locations Syraouse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City From Transhipment Facilities Louisville Denver Phoenix 5,000 20,000 5,000 10,000 5,000 20,000 2,500 25,000 12,500 16,000 6,000 5,000 4,000 4,000 25,000 10,000 15,000 10,000 2,500 15,000 5,000 Objective Function Total Cost Supply-Node Constraints Location Toledo Charlotte Savannah Outflow-inflow 75,000 85,000 60,000 MM Supply 75,000 85,000 60,000 Balance Flor Constraints Location Transshipment-Node Constraints Location Louisville 50,000 Denver 90,000 Phoenix 82,500 50,000 90,000 80,000 Demand-Node Constraints Location Syracuse Jacksonville Los Angeles Portland Chicago Kansas City Salt Lake City Inflow-Outflow 30,000 35,000 40,000 27,000 33,000 35,000 22.500 N N N N N N N Demand 30,000 35,000 45,000 20,000 35,000 25,000 25,000