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 resistorrequires 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 thisinformation into table form, we get:ComponentCopperZincGlassTransistors41Resistors3Computer chips23Supplies 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 ofmaterials 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 of130,120,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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Answered: An electronics company produces…

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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part 3 4
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An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3, 2, and 1 units of the three materials, and each computer chip requires 2, 1, and 2 units of these materials, respectively. How many of each product can be made with the following amounts of materials? Complete parts (a) through (c) below. (a) Let x represent the number of transistors that can be made, y the number of resistors, and z the number of computer chips. Write a system of three linear equations when the amounts of available materials are 775 units of copper, 385 units of zinc, and 470 units of glass. Choose the correct answer below. A. 3x + 3y + 2z = 385 x+2y+z=775 2x+y + 2z = 470 O C. 3x + 3y + 2z = 775 x + 2y + z = 385 2x+y + 2z = 470 The company can make 6 transistors, 2 resistors, and 3 computer chips. (b) 770 units of copper, 380 units of zinc, and 490 units of glass The company can make…
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