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 fibre, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fibre, 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 fibre 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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 fibre, requires 25 hours of production time, and needs 20 units of foam
backing. Each roll of Grade Y carpet uses 40 units of synthetic fibre, 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 fibre 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.
X= Grade x capet
Transcribed Image Text: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 fibre, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fibre, 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 fibre 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. X= Grade x capet
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