Muir Manufacturing Produces Two Popular Grades of Commercial Carpeting Among

question 11

Essay

Muir Manufacturing produces two popular grades of commercial carpeting among its many other products.In the coming production period,Muir needs to decide how many rolls of each grade should be produced in order to maximize profit.Each roll of Grade X carpet uses 50 units of synthetic fiber,requires 25 hours of production time,and needs 20 units of foam backing.Each roll of Grade Y carpet uses 40 units of synthetic fiber,requires 28 hours of production time,and needs 15 units of foam backing.​
The profit per roll of Grade X carpet is $200,and the profit per roll of Grade Y carpet is $160.In the coming production period,Muir has 3000 units of synthetic fiber available for use.Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility).The company has 1500 units of foam backing available for use.​
Develop and solve a linear programming model for this problem.

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Definitions:

Vaillant

Refers to George E. Vaillant, a psychiatrist known for his research on how people adapt to stress and other psychological processes across the lifespan.

Agentic

Pertains to an individual's sense of agency, or the ability to act independently and make free choices, shaping one's own life path.

Democratic

Pertaining to a form of government in which power is vested in the people, who rule either directly or through freely elected representatives.

Women Leaders

Individuals who identify as women and hold positions of authority and influence within organizations or societal structures.