An industrial recycling center uses to scrap aluminum metals, A and B, to produce a special alloy. Scrap A contains 6% aluminum, 3% silicon, and 4% carbon. Scrap B has 3% aluminum, 6% silicon and 3% carbon. The cost per ton for scraps A and B are $100 and $80, respectively. The 2. specifications of the special alloy require that (1) the aluminum content must be at least 3% and at most 6%, (2) the silicon content must lie between 3% and 5%, and (3) the carbon content must be between 3% and 7%. Determine the optimum mix of the scraps that should be used in producing 1000 tons of the alloy.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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An industrial recycling center uses to scrap aluminum metals, A and B, to produce a special alloy.
Scrap A contains 6% aluminum, 3% silicon, and 4% carbon. Scrap B has 3% aluminum, 6% silicon
and 3% carbon. The cost per ton for scraps A and B are $100 and $80, respectively. The
2. specifications of the special alloy require that (1) the aluminum content must be at least 3% and
at most 6%, (2) the silicon content must lie between 3% and 5%, and (3) the carbon content must
be between 3% and 7%. Determine the optimum mix of the scraps that should be used in
producing 1000 tons of the alloy.
Transcribed Image Text:An industrial recycling center uses to scrap aluminum metals, A and B, to produce a special alloy. Scrap A contains 6% aluminum, 3% silicon, and 4% carbon. Scrap B has 3% aluminum, 6% silicon and 3% carbon. The cost per ton for scraps A and B are $100 and $80, respectively. The 2. specifications of the special alloy require that (1) the aluminum content must be at least 3% and at most 6%, (2) the silicon content must lie between 3% and 5%, and (3) the carbon content must be between 3% and 7%. Determine the optimum mix of the scraps that should be used in producing 1000 tons of the alloy.
Instructions:
• Create a linear programming model for the following problem.
o Identify the feasible space and optimum solution using the graphical method.
• Solve the following problems in a clean sheet of paper (preferably bond paper).
• Show a complete, legible, and well-organized solution.
• Upload in Canvas a pdf file of your work (one file) through this page.
Transcribed Image Text:Instructions: • Create a linear programming model for the following problem. o Identify the feasible space and optimum solution using the graphical method. • Solve the following problems in a clean sheet of paper (preferably bond paper). • Show a complete, legible, and well-organized solution. • Upload in Canvas a pdf file of your work (one file) through this page.
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