An electronic company produces transistors, resistors and computer chips. Each of these require units of Copper, Zinc and Glass based on the table shown below. Copper Zinc Glass Resistors 3 1 Computer Chips Transistors 1 4 4 1 2 In any given week, the amount of Copper, Zinc and Glass available are 800, 400 and 600 units respectively. Determine the production of each product using the following: a. Gauss-Seidel without relaxation (up to a relative error of 5%) b. Jacobi (up to a relative error of 5%)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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An electronic company produces transistors, resistors and computer chips. Each of these require
units of Copper, Zinc and Glass based on the table shown below.
Соpper
Zinc
Glass
Resistors
3
1
Computer Chips
Transistors
2
1
4
4
1
In any given week, the amount of Copper, Zinc and Glass available are 800, 400 and 600 units
respectively. Determine the production of each product using the following:
a. Gauss-Seidel without relaxation (up to a relative error of 5%)
b. Jacobi (up to a relative error of 5%)
c. Gauss-Seidel over-relaxed with 2=1.05 (up to a relative error of 5%)
d. Comment on your results in part (a)-(c)
Transcribed Image Text:An electronic company produces transistors, resistors and computer chips. Each of these require units of Copper, Zinc and Glass based on the table shown below. Соpper Zinc Glass Resistors 3 1 Computer Chips Transistors 2 1 4 4 1 In any given week, the amount of Copper, Zinc and Glass available are 800, 400 and 600 units respectively. Determine the production of each product using the following: a. Gauss-Seidel without relaxation (up to a relative error of 5%) b. Jacobi (up to a relative error of 5%) c. Gauss-Seidel over-relaxed with 2=1.05 (up to a relative error of 5%) d. Comment on your results in part (a)-(c)
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