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:
Perched Lake
A body of water situated above the normal water table, created by local, impermeable layers of rock or sediment.
Inflow
The process of water or other fluids moving into a particular area or system, contributing to the volume contained within.
Evaporation
The process by which water is converted from its liquid form to vapor, typically under the influence of sun and heat.
Limestone Aquifer
An underground layer of water-bearing permeable rock, typically limestone, which can store and yield significant quantities of groundwater.
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