The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In th coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have bee scheduled to provide at least 1800 hours of production time (overtime is a possibility). The compan has 1500 units of foam backing available for use. Develop and solve a linear programming model for this problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
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QUESTION
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.
Transcribed Image Text:QUESTION 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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If a reduction of 200 hrs are planned in the prodcution, compute the change in the optimal solution in terms of $ per hour

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