An electronics company produces transistors, resistors, and computer chips. Each transistor requires four units of copper, one unit of zinc, and two units of glass. Each resistor requires three, three, and one units of the three materials, respectively, and each computer chip requires two, one, and three units nformation into table form, we get: these materials, respectively. Putting this Component Copper Zinc Glass Transistors Resistors Computer chips 1 2 2 3 Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. For example, one week the total amounts of materials available are 960 units of copper, 510 units of zinc, and 610 units of glass. a)Set up the system of equations modeling the production run. b)Test for the diagonal dominance for the convergence criteria. c)Use appropriate method based on the convergence criteria to solve for the number of transistors, resistors, and computer chips to be manufactured this week. Starting values o 130,120,and 100 for the number of transistors, resistors and computer chips respectively. Iteration is to be stopped if either one of the required values falls below 0.5%.
An electronics company produces transistors, resistors, and computer chips. Each transistor requires four units of copper, one unit of zinc, and two units of glass. Each resistor requires three, three, and one units of the three materials, respectively, and each computer chip requires two, one, and three units nformation into table form, we get: these materials, respectively. Putting this Component Copper Zinc Glass Transistors Resistors Computer chips 1 2 2 3 Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. For example, one week the total amounts of materials available are 960 units of copper, 510 units of zinc, and 610 units of glass. a)Set up the system of equations modeling the production run. b)Test for the diagonal dominance for the convergence criteria. c)Use appropriate method based on the convergence criteria to solve for the number of transistors, resistors, and computer chips to be manufactured this week. Starting values o 130,120,and 100 for the number of transistors, resistors and computer chips respectively. Iteration is to be stopped if either one of the required values falls below 0.5%.
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:An electronics company produces transistors, resistors, and computer chips. Each transistor requires four units of copper, one unit of zinc, and two units of glass. Each resistor
requires three, three, and one units of the three materials, respectively, and each computer chip requires two, one, and three units of these materials, respectively. Putting this
information into table form, we get:
Component
Copper
Zinc
Glass
Transistors
4
1
Resistors
3
Computer chips
2
3
Supplies of these materials vary from week to week, so the company needs to determine a different production run each week. For example, one week the total amounts of
materials available are 960 units of copper, 510 units of zinc, and 610 units of glass.
(a)Set up the system of equations modeling the production run.
(b)Test for the diagonal dominance for the convergence criteria.
(c)Use appropriate method based on the convergence criteria to solve for the number of transistors, resistors, and computer chips to be manufactured this week. Starting values of
130,120,and 100 for the number of transistors, resistors and computer chips respectively. Iteration is to be stopped if either one of the required values falls below 0.5%.
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