Using the graphical method: 1. A clothing company has available 3,600 meters of yellow fabric, 2,340 meters of blue fabric and 1,500 meters of red fabric, to market them to stores that organize them in two ways; Boxes A and B. Type A boxes contain 30 meters of yellow cloth, 18 meters of Blue cloth and 10 meters of red cloth. Type B boxes contain 10 meters of red cloth, 15 meters of blue cloth and 20 meters of yellow cloth. The boxes have a profit of $3,500 and $3,000 respectively and a manufacturing cost of $10,000 and $8,000 respectively. How many boxes should you make of each type to maximize sales?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Using the graphical method:

1. A clothing company has available 3,600 meters of yellow fabric, 2,340 meters of blue fabric and 1,500 meters of red fabric, to market them to stores that organize them in two ways; Boxes A and B. Type A boxes contain 30 meters of yellow cloth, 18 meters of Blue cloth and 10 meters of red cloth. Type B boxes contain 10 meters of red cloth, 15 meters of blue cloth and 20 meters of yellow cloth. The boxes have a profit of $3,500 and $3,000 respectively and a manufacturing cost of $10,000 and $8,000 respectively. How many boxes should you make of each type to maximize sales?

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