4. A plant produces two types of products, A and B, using different alloys of copper, alu- minum and zinc metals. The plant has 96 tons of copper, 30 tons of aluminum and 40 tons of zinc. The amounts of copper, aluminum and zinc (tonnes) used in the production of one unit A and one unit B and the profits ($) obtained from one unit of A and B are shown in the following table. Raw Material Product Copper Profit Aluminum Zinc A 3 1 B 4 1 1 3 Using this information and the data in the table, write the linear programming model of the problem that maximizes the profit. Then, solve your model using the graphical method.
4. A plant produces two types of products, A and B, using different alloys of copper, alu- minum and zinc metals. The plant has 96 tons of copper, 30 tons of aluminum and 40 tons of zinc. The amounts of copper, aluminum and zinc (tonnes) used in the production of one unit A and one unit B and the profits ($) obtained from one unit of A and B are shown in the following table. Raw Material Product Copper Profit Aluminum Zinc A 3 1 B 4 1 1 3 Using this information and the data in the table, write the linear programming model of the problem that maximizes the profit. Then, solve your model using the graphical method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. A plant produces two types of products, A and B, using different alloys of copper, alu-
minum and zinc metals. The plant has 96 tons of copper, 30 tons of aluminum and 40
tons of zinc. The amounts of copper, aluminum and zinc (tonnes) used in the production
of one unit A and one unit B and the profits ($) obtained from one unit of A and B are
shown in the following table.
Raw Material
Product
Profit
Copper
Aluminum
Zinc
A
6
3
1
2
B
4
1
1
3
Using this information and the data in the table, write the linear programming model
of the problem that maximizes the profit. Then, solve your model using the graphical
method.
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