min 324x1 + 358x2 + 177.5x3 + 148x4 + 182x5 + 123.5x6, subject to 10.5x1 + 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 + 5.1x6 2 20, 0 < x; < 1, for i = 1,2, ... ,6.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Topic Video
Question
Problem: Apply the big-M method for the following LP.
min 324x, + 358x2 + 177.5x3 + 148x4 + 182x5 + 123.5x6,
subject to
10.5x1 + 8.3x2 + 10.2x3 + 7.2x4 + 12.3x5 + 9.2x6 < 60,
14.4x, + 12.6x2 + 14.2x3 + 10.5x4 + 10.1x5 + 7.8x, 2 70,
2.2x + 9.5x2 + 5.6x3 + 7.5x4 + 8.3x5 + 6.9x6 < 35,
2.4x + 3.1x2 + 4.2x3 + 5x4 + 6.3x5 + 5.1x6 2 20,
0 < x; < 1, for i = 1,2, ... ,6.
show each steps
Transcribed Image Text:Problem: Apply the big-M method for the following LP. min 324x, + 358x2 + 177.5x3 + 148x4 + 182x5 + 123.5x6, subject to 10.5x1 + 8.3x2 + 10.2x3 + 7.2x4 + 12.3x5 + 9.2x6 < 60, 14.4x, + 12.6x2 + 14.2x3 + 10.5x4 + 10.1x5 + 7.8x, 2 70, 2.2x + 9.5x2 + 5.6x3 + 7.5x4 + 8.3x5 + 6.9x6 < 35, 2.4x + 3.1x2 + 4.2x3 + 5x4 + 6.3x5 + 5.1x6 2 20, 0 < x; < 1, for i = 1,2, ... ,6. show each steps
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