A compony 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 steel      1 unit      2 units          80 units Grade B steel     3 units      2 units         140 units Cost per day        5000       6000   How many days should each factory

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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A compony 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 steel      1 unit      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?

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