In order to find the number of toys of a company should manufacture per day to optimally use their injection-molding machine and the assembly line, one needs to solve the following set of equations. The unknowns are the number of toys for boys, x, the number of toys for girls, x, and the number of unisexual toys, x, . THE 0.3333 0.1667 0.6667||x, 756 0.1667 0.6667 0.3333 || x, 1260 1.05 -1.00 0.00 X3 Find the values of x,, x,, and x, using the Gauss-Seidel method with 1000 1000 1000 as the initial guess and conduct two iterations.

In order to find the number of toys of a company should manufacture per day to optimally use their injection-molding machine and the assembly line, one needs to solve the following set of equations. The unknowns are the number of toys for boys, x, the number of toys for girls, x, and the number of unisexual toys, x, . THE 0.3333 0.1667 0.6667||x, 756 0.1667 0.6667 0.3333 || x, 1260 1.05 -1.00 0.00 X3 Find the values of x,, x,, and x, using the Gauss-Seidel method with 1000 1000 1000 as the initial guess and conduct two iterations.

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

In order to find the number of toys of a company should manufacture per day to optimally use their injection-molding
machine and the assembly line, one needs to solve the following set of equations. The unknowns are the number of
toys for boys, x, , the number of toys for girls, x,, and the number of unisexual toys, x,.
[0.3333 0.1667 0.6667
756
0.1667 0.6667 0.3333 || x,
1260
1.05
-1.00
0.00
X3
Find the values of x,, x,, and x, using the Gauss-Seidel method with
1000
X2
1000
X3
1000
as the initial guess and conduct two iterations.

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