2. A company makes a product in two different factories. At factory X it takes 30 hours to produce the product and at factory Y it takes 20 hours. The costs of producing these items are $50 at factory X and $60 at factory Y. The company's labor force can provide 6000 hours of labor each week and resources are $12,000 each week. How should the company allocate its labor and resources to maximize the number of products produced? S YA Objective Function Constraints 30 x + oy 6,000 5ox + boy 12000 Vertices Solution: an t and g of -Fectory Feetory y

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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2. A company makes a product in two different factories. At factory X it takes 30 hours to
produce the product and at factory Y it takes 20 hours. The costs of producing these items are
$50 at factory X and $60 at factory Y. The company's labor force can provide 6000 hours of
labor each week and resources are $12,000 each week. How should the company allocate its
labor and resources to maximize the number of products produced?
S
YA
Objective Function
Constraints
30 x +
oy 6,000
5ox +
boy 12000
Vertices
Solution:
an t
and g
of
-Fectory
Feetory y
Transcribed Image Text:2. A company makes a product in two different factories. At factory X it takes 30 hours to produce the product and at factory Y it takes 20 hours. The costs of producing these items are $50 at factory X and $60 at factory Y. The company's labor force can provide 6000 hours of labor each week and resources are $12,000 each week. How should the company allocate its labor and resources to maximize the number of products produced? S YA Objective Function Constraints 30 x + oy 6,000 5ox + boy 12000 Vertices Solution: an t and g of -Fectory Feetory y
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