Mipan Enterprise uses textile and rubber to produce two types of boots, Nieki X and Asadi Y. A Nieki > boot requires 20 cm of textile, 30 cm of rubber and 1 hour of labor. An Asadi Y boot requires 30 cm of textile, 20 cm of rubber and 2 hours of labor. Each Nieki X boot sells for $75, and each Asadi Y boot sels for $90. All boots produced by Mipan Enterprise can be sold. At present, Mipan Enterprise has 10 meters of textile, 12 meters of rubber and 70 hours of labor. Extra textile can be purchased at a cost of $4.50 per centimeter. Market demand requires that the company produce at least 20 Nieki X boots but demand for Asadi Y shoes is unlimited. a) Formulate a mathematical model to maximize Mipan Enterprise profit. b) Solve the mathematical model by using the Big M Method.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Mipan Enterprise uses textile and rubber to produce two types of boots, Nieki X and Asadi Y. A Nieki X
boot requires 20 cm of textile, 30 cm of rubber and 1 hour of labor. An Asadi Y boot requires 30 cm of
textile, 20 cm of rubber and 2 hours of labor. Each Nieki X boot sells for $75, and each Asadi Y boot sells
for $90. All boots produced by Mipan Enterprise can be sold. At present, Mipan Enterprise has 10 meters
of textile, 12 meters of rubber and 70 hours of labor. Extra textile can be purchased at a cost of $4.50 per
centimeter. Market demand requires that the company produce at least 20 Nieki X boots but demand for
Asadi Y shoes is unlimited.
a) Formulate a mathematical model to maximize Mipan Enterprise profit.
b) Solve the mathematical model by using the Big M Method.
Transcribed Image Text:Mipan Enterprise uses textile and rubber to produce two types of boots, Nieki X and Asadi Y. A Nieki X boot requires 20 cm of textile, 30 cm of rubber and 1 hour of labor. An Asadi Y boot requires 30 cm of textile, 20 cm of rubber and 2 hours of labor. Each Nieki X boot sells for $75, and each Asadi Y boot sells for $90. All boots produced by Mipan Enterprise can be sold. At present, Mipan Enterprise has 10 meters of textile, 12 meters of rubber and 70 hours of labor. Extra textile can be purchased at a cost of $4.50 per centimeter. Market demand requires that the company produce at least 20 Nieki X boots but demand for Asadi Y shoes is unlimited. a) Formulate a mathematical model to maximize Mipan Enterprise profit. b) Solve the mathematical model by using the Big M Method.
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