Consider the following NLP: min z = x? + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93 s.t. -X1 + 3x2 + X3 = 10 4x + x – 2x3 2 13 Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible lirection, or an improving and feasible direction (Show all your work):
Consider the following NLP: min z = x? + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93 s.t. -X1 + 3x2 + X3 = 10 4x + x – 2x3 2 13 Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible lirection, or an improving and feasible direction (Show all your work):
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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![Consider the following NLP:
min z = xỉ + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93
s.t.
-x1 + 3x2 + x3 = 10
4x + x – 2x3 2 13
Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible
direction, or an improving and feasible direction (Show all your work):
1) di = [2, 0, 5]".
2) d2 = [2, - 3, 11]".
3) dz = [1, - 1, 4]".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F814ddd08-5612-466c-a478-aaef16f08ad4%2Ffa65666a-032f-437c-9313-458aee63501f%2Fzfqla2w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following NLP:
min z = xỉ + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93
s.t.
-x1 + 3x2 + x3 = 10
4x + x – 2x3 2 13
Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible
direction, or an improving and feasible direction (Show all your work):
1) di = [2, 0, 5]".
2) d2 = [2, - 3, 11]".
3) dz = [1, - 1, 4]".
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