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Case Study 5 This case study is all about linear programming. (Section 3.3) A company produces two different grades of steel, A and B at two different factories, 1 and 2. The following table summarizes the production capabilities of the factories, the cost per day and the number of units of each grade of steel that is required to fill orders. Factory 1 Factory 2 Required Grade A 1 unit 2 units 80 units Steel Grade B 3 units 2 units 140 units Steel Cost per $5000 $6000 |day How many days should each factory operate in order to fill the orders at minimum cost? What is the minimum cost? Start by defining the appropriate variables. Solve using graphical methods and clearly explain your solution.

Case Study 5 This case study is all about linear programming. (Section 3.3) A company produces two different grades of steel, A and B at two different factories, 1 and 2. The following table summarizes the production capabilities of the factories, the cost per day and the number of units of each grade of steel that is required to fill orders. Factory 1 Factory 2 Required Grade A 1 unit 2 units 80 units Steel Grade B 3 units 2 units 140 units Steel Cost per $5000 $6000 |day How many days should each factory operate in order to fill the orders at minimum cost? What is the minimum cost? Start by defining the appropriate variables. Solve using graphical methods and clearly explain your solution.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 21E: Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a...
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Case Study 5 This case study is all about linear programming. (Section 3.3) A company produces two different grades of steel, A and B at two different factories, 1 and 2. The following table summarizes the production capabilities of the factories, the cost per day and the number of units of each grade of steel that is required to fill orders. Factory 1 Factory 2 Required Grade A 1 unit 2 units 80 units Steel Grade B 3 units 2 units 140 units Steel Cost per $5000 $6000 day How many days should each factory operate in order to fill the orders at minimum cost? What is the minimum cost? Start by defining the appropriate variables. Solve using graphical methods and clearly explain your solution.
Transcribed Image Text:Case Study 5 This case study is all about linear programming. (Section 3.3) A company produces two different grades of steel, A and B at two different factories, 1 and 2. The following table summarizes the production capabilities of the factories, the cost per day and the number of units of each grade of steel that is required to fill orders. Factory 1 Factory 2 Required Grade A 1 unit 2 units 80 units Steel Grade B 3 units 2 units 140 units Steel Cost per $5000 $6000 day How many days should each factory operate in order to fill the orders at minimum cost? What is the minimum cost? Start by defining the appropriate variables. Solve using graphical methods and clearly explain your solution.
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