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 2 Required 80 units Factory 1 Grade A Steel 1 unit 2 units Grade B Steel 3 units 2 units 140 units Cost per day $5000 S6000 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. (http://www.zweigmedia.com/utilities/lpg/index.html?lang=en ) and clearly explain your solution.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
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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
1 unit
Factory 2
Required
Grade A Steel
2 units
80 units
Grade B Steel
3 units
2 units
140 units
Cost per day
$5000
$6000
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. (http://www.zweigmedia.com/utilities/lpg/index.html?lang=en ) and clearly explain your solution.
Transcribed Image Text: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 1 unit Factory 2 Required Grade A Steel 2 units 80 units Grade B Steel 3 units 2 units 140 units Cost per day $5000 $6000 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. (http://www.zweigmedia.com/utilities/lpg/index.html?lang=en ) and clearly explain your solution.
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