Bullseye Shirt Company makes three types of shirts: athletic, varsity, and surfer. The shirts are made from different combinations of two types of fabric, which are cotton and rayon. For simplicity, assume that one yard of fabric is used to make one shirt. The cost per yard of cotton is $5 and the cost per yard of rayon is S7. The table below shows relevant manufacturing information: Shirt Fabric Requirement Selling Price Athletic at least 60% cotton $30 Varsity no more than 25% rayon $40 Surfer exactly 80% cotton $36 Decision variables are defined as follows: Xj = yards of fabric i used in shirt j where i = {c, r) and j = {a, v, s}. Fill in the blanks to complete the objective function for this linear programming model that maximizes the company's weekly profits. Max Z = Xca+ Xcv Xcs + Xrs
Bullseye Shirt Company makes three types of shirts: athletic, varsity, and surfer. The shirts are made from different combinations of two types of fabric, which are cotton and rayon. For simplicity, assume that one yard of fabric is used to make one shirt. The cost per yard of cotton is $5 and the cost per yard of rayon is S7. The table below shows relevant manufacturing information: Shirt Fabric Requirement Selling Price Athletic at least 60% cotton $30 Varsity no more than 25% rayon $40 Surfer exactly 80% cotton $36 Decision variables are defined as follows: Xj = yards of fabric i used in shirt j where i = {c, r) and j = {a, v, s}. Fill in the blanks to complete the objective function for this linear programming model that maximizes the company's weekly profits. Max Z = Xca+ Xcv Xcs + Xrs
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:Bullseye Shirt Company makes three types of shirts: athletic, varsity, and surfer. The shirts are made from different combinations of two types of fabric, which are cotton and rayon. For simplicity, assume that one yard of fabric is
used to make one shirt. The cost per yard of cotton is $5 and the cost per yard of rayon is $7.
The table below shows relevant manufacturing information:
Shirt
Fabric Requirement
Selling Price
Athletic
at least 60% cotton
$30
Varsity
no more than 25% rayon
$40
Surfer
exactly 80% cotton
$36
Decision variables are defined as follows: xj = yards of fabric i used in shirt j where i = {c, r} and j= {a, v, s}.
Fill in the blanks to complete the objective function for this linear programming model that maximizes the company's weekly profits.
Max Z =
Хса +
Xcv +
Xcs +
Xra +
Xrs
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