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:
HPA-axis
Refers to the hypothalamic-pituitary-adrenal axis, a complex set of direct influences and feedback interactions among the hypothalamus, the pituitary gland, and the adrenal glands that regulate stress responses.
PTSD
Post-Traumatic Stress Disorder, a mental health condition triggered by experiencing or witnessing a traumatic event, marked by flashbacks, nightmares, and severe anxiety.
Traumatic Event
An incident that causes psychological, physical, emotional, or spiritual harm, leading the individual to experience extreme stress, fear, or distress.
Diagnosis
The process of identifying a disease, condition, or injury from its symptoms and diagnostic tests.
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