Minimize. w = 2y1 + 4y2 Subject to: 4y1 + 2y2 2 10 4y1 + y2 2 8 2y1 + y2 2 12 У1 2 0, Y2 2 0

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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Minimize. w = 2y1 + 4y2
Subject to:
4y1 + 2y2 2 10
4y1 + y2 > 8
2y1 + y2 > 12
У1 2 0,
Y2 2 0
***Note: Notice in the constrains, the second inequality is a multiple of the last
inequality. So if we multiply last inequality by 2, I would get the same terms that
exist to left hand side of inequality as in equation 2. Therefore, we have dependency.
When this happens, you only need one of these as using both is redundant.
Because of this, assume the second inequality in the constraints is not there and
solve using first and last inequality.
Transcribed Image Text:Minimize. w = 2y1 + 4y2 Subject to: 4y1 + 2y2 2 10 4y1 + y2 > 8 2y1 + y2 > 12 У1 2 0, Y2 2 0 ***Note: Notice in the constrains, the second inequality is a multiple of the last inequality. So if we multiply last inequality by 2, I would get the same terms that exist to left hand side of inequality as in equation 2. Therefore, we have dependency. When this happens, you only need one of these as using both is redundant. Because of this, assume the second inequality in the constraints is not there and solve using first and last inequality.
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