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honey lemon honey lemon
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5 years ago
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.

The table below shows relevant manufacturing information:

ShirtTotal Yards
of Fabric per Shirt
Fabric RequirementMinimum Weekly ContractsMaximum DemandSelling
Price
Athletic1.00at least 60% cotton500600$30
Varsity1.20no more than 30% rayon650850$40
Surfer0.90as much as 80% cotton300700$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.
Textbook 
Introduction to Management Science

Introduction to Management Science


Edition: 13th
Author:
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wrote...
5 years ago
max 30 A + 40 V + 36 S - 5C - 7R
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