The network below shows the flows possible between pairs of six locations. Formulate an LP to find the maximal flow possible from Node 1 to Node 6. 
Definitions:
Consumers
Individuals or households that purchase goods and services for personal use.
Services
Intangible products such as healthcare, education, and financial advising that are consumed at the point of delivery and do not result in ownership of physical goods.
Supply
The total amount of a specific good or service that is available to consumers, often influenced by price levels.
Demand
The quantity of a product or service that consumers are willing and able to purchase at various price points within a certain period.
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