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A Manufacturing Company Has a Pool of 50 Labor Hours

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A manufacturing company has a pool of 50 labor hours. A customer has requested two products, Product A and Product B, and has requested 15 and 20 of each respectively. It requires 2 hours of labor to produce Product A and 3 hours of labor to produce Product B. The company can obtain up to 50 additional hours of labor if required. In-house labor costs $25 per hour while contracted labor costs $45 per hour. The following network flow model captures this problem.
A manufacturing company has a pool of 50 labor hours. A customer has requested two products, Product A and Product B, and has requested 15 and 20 of each respectively. It requires 2 hours of labor to produce Product A and 3 hours of labor to produce Product B. The company can obtain up to 50 additional hours of labor if required. In-house labor costs $25 per hour while contracted labor costs $45 per hour. The following network flow model captures this problem. ​   ​ Write out the LP formulation for this problem.
Write out the LP formulation for this problem.


Definitions:

Industrial Workers

Individuals who are employed in sectors related to manufacturing, construction, and production, often involving manual labor.

American Federation of Labor

A prominent federation of labor unions in the United States, founded in 1886, which aimed to organize workers in skilled trades.

Welfare Capitalism

An approach where private companies provide social welfare services to their employees, including health care and pensions, to improve working conditions and loyalty.

Management Systems

Systems designed to manage an organization's policies, procedures, and processes, improving efficiency and effectiveness.

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