ullseye Shirt Company makes three types of shirts:  athletic, varsity, and surfer.  The shirts are made from different combinations of cotton and rayon.  The cost per yard of cotton is $5 and the cost for rayon is $7.  Bullseye can receive up to 4000 yards of cotton and 3000 yards of rayon per week.  Shirt  Total Yards   of Fabric   per Shirt  Fabric Requirement  Minimum Weekly Contracts  Maximum Demand  Selling  Price  Athletic  1.00  at least 60% cotton  500  600  $30  Varsity  1.20  no more than 30% rayon  650  850  $40  Surfer  0.90  as much as   80% cotton  300  700  $36  Assume that the decision variables are defined as follows:  A = total number of athletic shirts produced  V = total number of varsity shirts produced  S = total number of surfer shirts produced  C = yards of cotton purchased  R = yards of rayon purchased  Xij = yards of fabric i (C or R) blended into shirt j (A, V or S)    Write the objective function.    Write the constraints for the fabric requirements.    Write the constraints for the total number of shirts of each style produced

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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  1. Bullseye Shirt Company makes three types of shirts:  athletic, varsity, and surfer.  The shirts are made from different combinations of cotton and rayon.  The cost per yard of cotton is $5 and the cost for rayon is $7.  Bullseye can receive up to 4000 yards of cotton and 3000 yards of rayon per week. 

Shirt 

Total Yards  

of Fabric  

per Shirt 

Fabric Requirement 

Minimum Weekly Contracts 

Maximum Demand 

Selling 

Price 

Athletic 

1.00 

at least 60% cotton 

500 

600 

$30 

Varsity 

1.20 

no more than 30% rayon 

650 

850 

$40 

Surfer 

0.90 

as much as  

80% cotton 

300 

700 

$36 

Assume that the decision variables are defined as follows: 

A = total number of athletic shirts produced 

V = total number of varsity shirts produced 

S = total number of surfer shirts produced 

C = yards of cotton purchased 

R = yards of rayon purchased 

Xij = yards of fabric i (C or R) blended into shirt j (A, V or S) 

 

  1. Write the objective function. 

 

  1. Write the constraints for the fabric requirements. 

 

  1. Write the constraints for the total number of shirts of each style produced. 

 

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