A production engineer supervises the production of three types of components. Three kinds of materials (metal, plastic and rubber) are required for production. The amounts needed to produce each component are Component 1 2 3 Metal (g/component) 19 8 7 Plastic (g/component) 0.25 0.82 0.33 Rubber (g/component) 0.9 1.2 2.4 If totals of 2120 grams of metal, 43.4 grams of plastic and 164 grams of rubber are available each day, solve for the exact number of components that can be produced per day using A) Gauss-Seidel Method or Jacobi Iteration Method (Iterative Method) -use x=0,y=0 and z=0 as initial values R) Check your answers by using Gaussian Elimination (Direct Method)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. A production engineer supervises the production of three types of components. Three kinds
of materials (metal, plastic and rubber) are required for production. The amounts needed
to produce each component are
Component
Metal
Plastic
Rubber
(g/component)
19
8
(g/component)
(g/component)
1
0.25
0.9
2
0.82
1.2
3
7
0.33
2.4
If totals of 2120 grams of metal, 43.4 grams of plastic and 164 grams of rubber are available
each day, solve for the exact number of components that can be produced per day using
A) Gauss-Seidel Method or Jacobi Iteration Method (Iterative Method) -use x=0,y=0 and
z=0 as initial values
B) Check your answers by using Gaussian Elimination (Direct Method)
Transcribed Image Text:1. A production engineer supervises the production of three types of components. Three kinds of materials (metal, plastic and rubber) are required for production. The amounts needed to produce each component are Component Metal Plastic Rubber (g/component) 19 8 (g/component) (g/component) 1 0.25 0.9 2 0.82 1.2 3 7 0.33 2.4 If totals of 2120 grams of metal, 43.4 grams of plastic and 164 grams of rubber are available each day, solve for the exact number of components that can be produced per day using A) Gauss-Seidel Method or Jacobi Iteration Method (Iterative Method) -use x=0,y=0 and z=0 as initial values B) Check your answers by using Gaussian Elimination (Direct Method)
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