A railroad needs to move the maximum amount of material through its rail network. Formulate the LP model to determine this maximum amount based on the following network diagram. 
Definitions:
Social Processes
The patterns of interaction between individuals and groups that shape societal norms and structures.
Economic Contributions
Economic contributions refer to the input of individuals, groups, or sectors to the economy, including labor, capital, and resources, influencing overall economic growth and productivity.
Self-identity
An individual's conscious recognition of their own character, traits, and personal identity, influenced by their experiences, values, and social interactions.
Interdependence
A relationship between individuals or groups that rely on each other to achieve mutual goals or meet needs, highlighting the interconnectedness and reliance within social or ecological systems.
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