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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Automation of Manufacturing Processes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY