Set up a linear program for the following problem. DO NOT SOLVE IT! FaceCo face mask manufacturing company makes two different types of elastic face masks, the solid-colored type and the patterned type. Each solid-colored face mask requires 5 ounces of rubber, 4 ounces of dye, and sells for OMR 9. Each patterned mask requires 4 ounces of rubber, 5 ounces of dye, and sells for OMR 10. During the coming week, FaceCo would like to make at least 20o masks. However, they would like to make no more than 70 solid- colored masks, due to limited demand for that type. Furthermore, they would like to make at least three times as many patterned masks as solid-colored masks. FaceCo has 400 ounces of rubber and 350 ounces of dye available. They want to determine the number of masks of each type to maximize the sales.

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
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 37PS
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Set up a linear program for the following problem. DO NOT
SOLVE IT!
FaceCo face mask manufacturing company makes two
different types of elastic face masks, the solid-colored type
and the patterned type. Each solid-colored face mask
requires 5 ounces of rubber, 4 ounces of dye, and sells for
OMR 9. Each patterned mask requires 4 ounces of rubber, 5
ounces of dye, and sells for OMR 10. During the coming
week, FaceCo would like to make at least 20o masks.
However, they would like to make no more than 70 solid-
colored masks, due to limited demand for that type.
Furthermore, they would like to make at least three times as
many patterned masks as solid-colored masks. FaceCo has
400 ounces of rubber and 350 ounces of dye available. They
want to determine the number of masks of each type to
maximize the sales.
Transcribed Image Text:Set up a linear program for the following problem. DO NOT SOLVE IT! FaceCo face mask manufacturing company makes two different types of elastic face masks, the solid-colored type and the patterned type. Each solid-colored face mask requires 5 ounces of rubber, 4 ounces of dye, and sells for OMR 9. Each patterned mask requires 4 ounces of rubber, 5 ounces of dye, and sells for OMR 10. During the coming week, FaceCo would like to make at least 20o masks. However, they would like to make no more than 70 solid- colored masks, due to limited demand for that type. Furthermore, they would like to make at least three times as many patterned masks as solid-colored masks. FaceCo has 400 ounces of rubber and 350 ounces of dye available. They want to determine the number of masks of each type to maximize the sales.
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