You work for a large intermodal carrier and are in charge of repositioning empty containers each week. Intermodal ramps are imbalanced $-$ in some cities, more containers flow in than out, and in others more containers flow out than in$.$ You need to develop a plan to reposition the empty containers. Locations with negative values have too many containers, which need to flow out $($for example, at most $200$ containers can flow out of SLC$).$ Locations with positive values do not have enough containers, which need containers to flow in $($for example, at least $300$ containers need to flow into CHI$).$ Costs for sending a container between each city pair is shown on the graphic. Formulate this as a network flow model and solve it$.$ What is the lowest cost solution while satisfying the constraints? This spreadsheet might help you think through the problem Container Network Balance.xlsx Download Container Network Balance.xlsx$.$