Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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 810 units
of copper, 420 units of zinc, and 480 units of glass. Choose the correct answer below.
A. 3x+3y + 2z = 810
x+2y+z= 420
2x+y + 2z = 480
C. x+3y + 2z = 480
3x + 3y + 2z = 420
x+2y+z=810
The company can make
transistors, resistors, and
O B. x+y+z= 420
2x+y+z=810
2x+y + 2z=480
O D. 3x + 3y + 2z = 420
x+2y+z=810
2x+y + 2z = 480
computer chips.
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Transcribed Image Text: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 810 units of copper, 420 units of zinc, and 480 units of glass. Choose the correct answer below. A. 3x+3y + 2z = 810 x+2y+z= 420 2x+y + 2z = 480 C. x+3y + 2z = 480 3x + 3y + 2z = 420 x+2y+z=810 The company can make transistors, resistors, and O B. x+y+z= 420 2x+y+z=810 2x+y + 2z=480 O D. 3x + 3y + 2z = 420 x+2y+z=810 2x+y + 2z = 480 computer chips.
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