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:
Debtor in Possession
A debtor who retains possession and control of their assets while undergoing a reorganization under bankruptcy law, typically in Chapter 11 bankruptcy proceedings.
Liquidating
The process of closing a business and distributing its assets to claimants, often in the event of bankruptcy.
Assets
Resources or items of value owned by an individual or business, which can be used to cover liabilities or generate income.
Bankruptcy Code
The body of federal laws and statutes governing the process of bankruptcy in the United States, which allows individuals or entities facing financial distress to relieve their debts.
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