Consider the following standard form LP problem (attached image): Let us introduce the additional constraint x1 + x2 = 3. Form the auxiliary problem and solve it using the big-M method. min -5x1 –- x2 + 12x3subject to3x1 + 2x2 + x3= 105x1 + 3x2 ++x416X; > 0, i = 1, 2, 3, 4.for which we already have an optimal solution in the following tableau:X1X2X3X4122721-3X2 =1-3

Answered: Image /qna-images/answer/32a9ce25-ae36-4489-91ce-1c28c2ddef3a.jpg

min -5x1 –- x2 + 12x3 subject to 3x1 + 2x2 + x3 = 10 5x1 + 3x2 + +x4 16 X; > 0, i = 1, 2, 3, 4. for which we already have an optimal solution in the following tableau: X1 X2 X3 X4 12 2 7 2 1 -3 x2 = 1 -3

min -5x1 –- x2 + 12x3 subject to 3x1 + 2x2 + x3 = 10 5x1 + 3x2 + +x4 16 X; > 0, i = 1, 2, 3, 4. for which we already have an optimal solution in the following tableau: X1 X2 X3 X4 12 2 7 2 1 -3 x2 = 1 -3

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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Question

Consider the following standard form LP problem (attached image):

Let us introduce the additional constraint x1 + x2 = 3. Form the auxiliary problem and solve it using the big-M method.

min -5x1 –- x2 + 12x3
subject to
3x1 + 2x2 + x3
= 10
5x1 + 3x2 +
+x4
16
X; > 0, i = 1, 2, 3, 4.
for which we already have an optimal solution in the following tableau:
X1
X2
X3
X4
12
2
7
2
1
-3
X2 =
1
-3

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