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:
Constant Slope
A line on a graph that has the same steepness throughout, indicating a uniform rate of change.
Price Elasticity
Price elasticity measures how the quantity demanded or supplied of a good changes in response to a change in its price.
Linear Demand
A type of demand relationship where changes in price lead to direct, proportional changes in quantity demanded.
Price Elastic
An assessment of the influence that price changes have on the consumer's purchasing volume of a good.
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