A steel company is producing steel for a new contract. The contract specifies the information in the
Question:
The steel company mixes batches of eight different available materials to produce each ton of steel according to the specification. The table at the bottom of this page details these materials.
Formulate and solve the LP model that will indicate how much of each of the eight materials should be blended into a 1-ton load of steel so that the company can meet the specifications under the contract while minimizing costs.
Transcribed Image Text:
MATERIAL MINIMUM MAXIMUM Manganese Silicon Carbon 2.10% 4.30% 1.05% 3.10% 6.30% 2.05% MATERIAL AVAILABLE MANGANES Alloy 1 Alloy 2 Alloy 3 Iron 1 Iron 2 Carbide 1 Carbide 2 Carbide 3 POUNDS AVAILABLE COST PER POUND SILICON CARBON 70.0% 55.0% 12.0% 1.0% 5.0% 0% 0% 0% 15 .090 30.0% 26.0% 10.0% 2.5% 24.0% 25.0% 23.0% No limit 300 No limit No limit No limit 50 200 100 $0.12 S0.13 $0.15 $0.09 $0.07 $0.10 $0.12 $0.09 3.0% 1.0% 0% 3.0% 0% 18.0% 20.0% 25.0%
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Related Book For
Managerial Decision Modeling With Spreadsheets
ISBN: 718
3rd Edition
Authors: Nagraj Balakrishnan, Barry Render, Jr. Ralph M. Stair
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