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A Network of Railway Lines Connects the Main Lines Entering

question 28

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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.
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:

Marginal Subcontracting Cost

The additional cost incurred for each additional unit of production that is subcontracted rather than produced in-house.

Layoff Cost

The expenses associated with reducing an organization's workforce, encompassing severance pay, benefits continuation, and potential legal costs.

Hiring And Training Cost

Expenses associated with recruiting new employees and providing them with the necessary skills and knowledge for their role.

Labor Hours

The total number of hours worked by employees, used as a measure of labor input in the production of goods and services.

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