Formulate a linear program for this problem. 1) A clothing factory can make three shoe types: A,B, and C. Their profits per shoe are, respectively, $5, $4, and $3. Type A shoes require 4 pieces of leather, and 1 piece of cloth; type B shoes require 3 pieces of leather, and 2 pieces of cloth; type C shoes require 5 pieces of cloth. The factory has 10,000 pieces of leather and 50,000 pieces of cloth available. Furthermore, the factory must produce at least 500 units of each type of shoe.

Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter2: Measurement, Materials, And Safety
Section2.5: Quality Assurance, Process Planning, And Quality Control
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Formulate a linear program for this problem.
1)
A clothing factory can make three shoe types: A,B, and C. Their profits per shoe are, respectively,
$5, $4, and $3. Type A shoes require 4 pieces of leather, and 1 piece of cloth; type B shoes require
3 pieces of leather, and 2 pieces of cloth; type C shoes require 5 pieces of cloth. The factory
has 10,000 pieces of leather and 50,000 pieces of cloth available. Furthermore, the factory must
produce at least 500 units of each type of shoe.
Transcribed Image Text:Formulate a linear program for this problem. 1) A clothing factory can make three shoe types: A,B, and C. Their profits per shoe are, respectively, $5, $4, and $3. Type A shoes require 4 pieces of leather, and 1 piece of cloth; type B shoes require 3 pieces of leather, and 2 pieces of cloth; type C shoes require 5 pieces of cloth. The factory has 10,000 pieces of leather and 50,000 pieces of cloth available. Furthermore, the factory must produce at least 500 units of each type of shoe.
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