A network of railway lines connects the main lines entering and leaving a city.Speed limits,track reconstruction,and train length restrictions lead to the flow diagram below,where the numbers represent how many cars can pass per hour.Formulate an LP to find the maximal flow in cars per hour from Node 1 to Node F. 
Definitions:
Legitimate Power
The authority an individual has because of their position in an organization's hierarchy, contributing to their ability to influence others.
Coercive Power
A form of power that is based on the ability to force someone to comply through threats or punishment.
Store Manager
An individual responsible for overseeing the daily operations of a retail store, including staff management and customer satisfaction.
Referent Power
Influence based on followers' identification, admiration, or respect for the leader rather than formal authority.
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