A company produces handmade shawls and afghans. They spin the yarn, dye it, and then weave it. A shawl requires 1 hour of spinning, 1 hour of dyeing, and 1 hour of weaving. An afghan requires 1 hour of spinning, 2 hours of dyeing, and 4 hours of weaving. There are at most 7 hours available each day for spinning, 8 hours for dyeing, and 12 hours for weaving. Summarize the data in a table. Use the table to write a system of inequalities. Then graph the feasible region. Complete the table. Hours Hours Number Spinning Dyeing Shawls x Afghans y Maximum Number of Hours Available 7 8 Hours Weaving 12

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 38P
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A company produces handmade shawls and afghans. They spin the yarn, dye it, and then weave it. A shawl requires
1 hour of spinning, 1 hour of dyeing, and 1 hour of weaving. An afghan requires 1 hour of spinning, 2 hours of dyeing,
and 4 hours of weaving. There are at most 7 hours available each day for spinning, 8 hours for dyeing, and 12 hours
for weaving. Summarize the data in a table. Use the table to write a system of inequalities. Then graph the feasible
region.
Complete the table.
Hours Hours
Number Spinning Dyeing
Shawls X
Afghans y
Maximum Number
of Hours Available
7
8
Hours
Weaving
12
Transcribed Image Text:A company produces handmade shawls and afghans. They spin the yarn, dye it, and then weave it. A shawl requires 1 hour of spinning, 1 hour of dyeing, and 1 hour of weaving. An afghan requires 1 hour of spinning, 2 hours of dyeing, and 4 hours of weaving. There are at most 7 hours available each day for spinning, 8 hours for dyeing, and 12 hours for weaving. Summarize the data in a table. Use the table to write a system of inequalities. Then graph the feasible region. Complete the table. Hours Hours Number Spinning Dyeing Shawls X Afghans y Maximum Number of Hours Available 7 8 Hours Weaving 12
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