Q2 An electronic company produces transistors, resistors, and computer chips. The material required to produce one transistor, resistor and computer chip is as tabulated in Table Q2. Table Q2: Materials usage for each component. Component Material (b) (c) Copper Zinc Glass Transistors 9 4 Resistors 3 6 2 Computer chips Supplies of these materials vary from week to week, so the company needs to determine a different production run for each week. For example, for this week, the total amounts of materials available are 1800 units of copper, 2000 units of zinc, and 4050 units of glass. 4 The problem is to determine the number of transistors, resistors, and computer chips to be manufactured for this week. Organize the given information into a complete matrix form. Show that matrix A in Q2(a) is diagonally dominant. 2 Rewrite the matrix in Q2(a) to suit with the Gauss Seidel iteration method.
Q2 An electronic company produces transistors, resistors, and computer chips. The material required to produce one transistor, resistor and computer chip is as tabulated in Table Q2. Table Q2: Materials usage for each component. Component Material (b) (c) Copper Zinc Glass Transistors 9 4 Resistors 3 6 2 Computer chips Supplies of these materials vary from week to week, so the company needs to determine a different production run for each week. For example, for this week, the total amounts of materials available are 1800 units of copper, 2000 units of zinc, and 4050 units of glass. 4 The problem is to determine the number of transistors, resistors, and computer chips to be manufactured for this week. Organize the given information into a complete matrix form. Show that matrix A in Q2(a) is diagonally dominant. 2 Rewrite the matrix in Q2(a) to suit with the Gauss Seidel iteration 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:Q2
An electronic company produces transistors, resistors, and computer chips. The material
required to produce one transistor, resistor and computer chip is as tabulated in Table Q2.
Table Q2: Materials usage for each component.
Material
Component
(a)
(b)
(c)
Copper
Zinc
Glass
Transistors
9
2
4
Resistors
3
6
2
Supplies of these materials vary from week to week, so the company needs to determine a
different production run for each week. For example, for this week, the total amounts of
materials available are 1800 units of copper, 2000 units of zinc, and 4050 units of glass.
Computer chips
The problem is to determine the number of transistors, resistors, and computer chips to be
manufactured for this week.
Organize the given information into a complete matrix form.
4
Show that matrix A in Q2(a) is diagonally dominant.
2
Rewrite the matrix in Q2(a) to suit with the Gauss Seidel iteration method.
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