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Unformatted text preview: 04.06.1 Chapter 04.06 Gaussian Elimination – More Examples Industrial Engineering Example 1 To find the number of toys 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, 1 x , the number of toys for girls, 2 x , and the number of unisexual toys, 3 x . = − 1260 756 00 . 00 . 1 05 . 1 3333 . 6667 . 1667 . 6667 . 1667 . 3333 . 3 2 1 x x x Find the values of 1 x , 2 x , and 3 x using naïve Gauss elimination. Solution Forward Elimination of Unknowns Since there are three equations, there will be two steps of forward elimination of unknowns. First step Divide Row 1 by 0.3333 and then multiply it by 0.1667, that is, multiply Row 1 by 50015 . 3333 . 1667 . = ....
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.
- Spring '08