Problem: Apply the big-M method for the following LP. min 324x, + 358x2 + 177.5x3 + 148x4 + 182x5 + 123.5x6, subject to 10.5x, + 8.3x2 + 10.2x3 + 7.2x4 + 12.3x5 + 9.2x6 < 60, 14.4x1 + 12.6x2 + 14.2x3 + 10.5x4 + 10.1x5 + 7.8x, 2 70, 2.2x1 + 9.5x2 + 5.6x3 + 7.5x4 + 8.3x5 + 6.9x6 < 35, 2.4x1 + 3.1x2 + 4.2x3 + 5x4 + 6.3x5 + 5.1x, > 20, 0 < x; < 1, for i 1,2, ...,6.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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Problem: Apply the big-M method for the following LP.
min 324x, + 358x2 + 177.5x3 + 148x4 + 182x5 + 123.5x6,
subject to
10.5x, + 8.3x2 + 10.2x3 + 7.2x4 + 12.3x5 + 9.2x6 < 60,
14.4x1 + 12.6x2 + 14.2x3 + 10.5x4 + 10.1x5 + 7.8x, 2 70,
2.2x1 + 9.5x2 + 5.6x3 + 7.5x4 + 8.3x5 + 6.9x6 < 35,
2.4x1 + 3.1x2 + 4.2x3 + 5x4 + 6.3x5 + 5.1x, > 20,
0 < x; < 1, for i
1,2, ...,6.
Transcribed Image Text:Problem: Apply the big-M method for the following LP. min 324x, + 358x2 + 177.5x3 + 148x4 + 182x5 + 123.5x6, subject to 10.5x, + 8.3x2 + 10.2x3 + 7.2x4 + 12.3x5 + 9.2x6 < 60, 14.4x1 + 12.6x2 + 14.2x3 + 10.5x4 + 10.1x5 + 7.8x, 2 70, 2.2x1 + 9.5x2 + 5.6x3 + 7.5x4 + 8.3x5 + 6.9x6 < 35, 2.4x1 + 3.1x2 + 4.2x3 + 5x4 + 6.3x5 + 5.1x, > 20, 0 < x; < 1, for i 1,2, ...,6.
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