Let us assume that a manufacturer is marketing a product made of an alloy material meeting a certain specified composition. The three critical ingredients of the alloy are manganese, silicon, and copper. The specifications require 15 pounds of manganese, 22 pounds of silicon, and 39 pounds of copper for each ton of alloy to be produced. This mix of ingredients requires the manufacturer to obtain inputs from three different mining suppliers. Ore from the different suppliers has different concentrations of the alloy ingredients, as detailed in Table 1. Given this information, the manufacturer must determine how much ore to purchase from each supplier so that there is no waste of the alloy ingredients. Use gauss elimination method. Table 1 Supplier 1 (lb/ton of ore) Supplier 2 (lb/ton of ore) Supplier 3 (lb/ton of ore) Manganese Silicon 1 3 2 4 3 Сopper 3 4 7
Let us assume that a manufacturer is marketing a product made of an alloy material meeting a certain specified composition. The three critical ingredients of the alloy are manganese, silicon, and copper. The specifications require 15 pounds of manganese, 22 pounds of silicon, and 39 pounds of copper for each ton of alloy to be produced. This mix of ingredients requires the manufacturer to obtain inputs from three different mining suppliers. Ore from the different suppliers has different concentrations of the alloy ingredients, as detailed in Table 1. Given this information, the manufacturer must determine how much ore to purchase from each supplier so that there is no waste of the alloy ingredients. Use gauss elimination method. Table 1 Supplier 1 (lb/ton of ore) Supplier 2 (lb/ton of ore) Supplier 3 (lb/ton of ore) Manganese Silicon 1 3 2 4 3 Сopper 3 4 7
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:Let us assume that a manufacturer is marketing a product made of an alloy material meeting a certain
specified composition. The three critical ingredients of the alloy are manganese, silicon, and copper.
The specifications require 15 pounds of manganese, 22 pounds of silicon, and 39 pounds of copper for
each ton of alloy to be produced. This mix of ingredients requires the manufacturer to obtain inputs
from three different mining suppliers. Ore from the different suppliers has different concentrations of
the alloy ingredients, as detailed in Table 1.
Given this information, the manufacturer must determine how much ore to purchase from each supplier
so that there is no waste of the alloy ingredients. Use gauss elimination method.
Table 1
Supplier 1
(lb/ton of ore)
Supplier 2
(lb/ton of ore)
Supplier 3
(lb/ton of ore)
Manganese
Silicon
1
3
2
2
4
3
Соpper
3
4
7
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