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6. Target Shirt Company makes three varieties of shirts: Collegiate, Traditional and Euro- pean. These shirts are made from different combinations of cotton and polyester. The cost per yard of unblended cotton is $5 and for unblended polyester is $4. Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly. The table below pertinent data concerning the manufacture of the shirts. Shirt Total Yards Collegiate 1.00 Traditional 1.20 European .90 Fabric Requirement At least 50% cotton No more than 20% polyester As much as 80% polyester Weekly Contracts 500 650 280 Weekly Max requirement 600 850 675 Selling Price $14.00 $15.00 $18.00 Formulate and solve this blending problem as a linear program to maximize the profit.

6. Target Shirt Company makes three varieties of shirts: Collegiate, Traditional and Euro- pean. These shirts are made from different combinations of cotton and polyester. The cost per yard of unblended cotton is $5 and for unblended polyester is $4. Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly. The table below pertinent data concerning the manufacture of the shirts. Shirt Total Yards Collegiate 1.00 Traditional 1.20 European .90 Fabric Requirement At least 50% cotton No more than 20% polyester As much as 80% polyester Weekly Contracts 500 650 280 Weekly Max requirement 600 850 675 Selling Price $14.00 $15.00 $18.00 Formulate and solve this blending problem as a linear program to maximize the profit.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Target Shirt Company makes three varieties of shirts: Collegiate, Traditional and Euro- pean. These shirts are made from different combinations of cotton and polyester. The cost per yard of unblended cotton is $5 and for unblended polyester is $4. Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly. The table below pertinent data concerning the manufacture of the shirts. Shirt Total Yards Collegiate 1.00 Traditional 1.20 European .90 Fabric Requirement At least 50% cotton No more than 20% polyester As much as 80% polyester Weekly Contracts 500 650 280 Weekly Max requirement 600 850 675 Selling Price $14.00 $15.00 $18.00 Formulate and solve this blending problem as a linear program to maximize the profit.
Transcribed Image Text:6. Target Shirt Company makes three varieties of shirts: Collegiate, Traditional and Euro- pean. These shirts are made from different combinations of cotton and polyester. The cost per yard of unblended cotton is $5 and for unblended polyester is $4. Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly. The table below pertinent data concerning the manufacture of the shirts. Shirt Total Yards Collegiate 1.00 Traditional 1.20 European .90 Fabric Requirement At least 50% cotton No more than 20% polyester As much as 80% polyester Weekly Contracts 500 650 280 Weekly Max requirement 600 850 675 Selling Price $14.00 $15.00 $18.00 Formulate and solve this blending problem as a linear program to maximize the profit.
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