1. A pencil factory has bought certain quantities of aluminum, wood, rubber and graphite in order to make their products. The quantities of each material (in kg) that they purchased satisfy the following: • They bought 3 times more graphite than wood. • They bought exactly 100 kg of aluminum. • They spent a total of 20,000$, and the cost of each material is given in the table below. Material Wood Aluminum Rubber Graphite Cost ($/kg) 10 20 30
1. A pencil factory has bought certain quantities of aluminum, wood, rubber and graphite in order to make their products. The quantities of each material (in kg) that they purchased satisfy the following: • They bought 3 times more graphite than wood. • They bought exactly 100 kg of aluminum. • They spent a total of 20,000$, and the cost of each material is given in the table below. Material Wood Aluminum Rubber Graphite Cost ($/kg) 10 20 30
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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a ) Write a system of linear equations that summarizes theses constraints.
b ) On your own scrap paper , write down the augmented matrix and perform row oper ations to put the matrix in row echelon form . After you are finished , summarize your steps in brief point - form English sentences in the space below , so that anyone else could easily read and follow them . ( Do not use this space for your row reductions . )
c ) Write down the general solution by filling in the blanks below . ( Use parameter ( s ) if needed . )
W =_________
A =__________
R =__________
G =__________
Transcribed Image Text:1. A pencil factory has bought certain quantities of aluminum, wood, rubber and graphite in order to
make their products. The quantities of each material (in kg) that they purchased satisfy the following:
• They bought 3 times more graphite than wood.
• They bought exactly 100 kg of aluminum.
• They spent a total of 20,000$, and the cost of each material is given in the table below.
Material
Wood
Aluminum
Rubber Graphite
Cost ($/kg)
10
20
30
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