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 Steel 1 Unit 2 Units 80 Units Grade B Steel 3 Units 2 Units 140 Units Cost per Day $2,000 $3,000 How many days should each factory
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 Steel 1 Unit 2 Units 80 Units Grade B Steel 3 Units 2 Units 140 Units Cost per Day $2,000 $3,000 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 23EQ:
23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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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 Steel | 1 Unit | 2 Units | 80 Units |
Grade B Steel | 3 Units | 2 Units | 140 Units |
Cost per Day | $2,000 | $3,000 |
How many days should each factory operate to fill the orders at minimum cost? What is the minimum cost? Use graphical methods.
The minimum cost is $ ? when factory 1 operates ? days and factory 2 operates ? days.
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