1. Give the dual of each of the following linear programs: (a) maximize 100x1 + 200x2 + 300x3 + 400x4 (b) subject to x12x2 3x3 - 4x4 10, -5x16x27x3+8x4-20, 9x110x211x3 - 12x4 = 30, x1,x30, x40, x2 unrestricted maximize 4 subject to x4x12x2+4x3, x4 -2x13x2-5x3, x43x14x2+6x3, x1 + x2 x3 = 1, x1, x2, x30, x4 unrestricted
1. Give the dual of each of the following linear programs: (a) maximize 100x1 + 200x2 + 300x3 + 400x4 (b) subject to x12x2 3x3 - 4x4 10, -5x16x27x3+8x4-20, 9x110x211x3 - 12x4 = 30, x1,x30, x40, x2 unrestricted maximize 4 subject to x4x12x2+4x3, x4 -2x13x2-5x3, x43x14x2+6x3, x1 + x2 x3 = 1, x1, x2, x30, x4 unrestricted
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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Part b handwritten please
Transcribed Image Text:1. Give the dual of each of the following linear programs:
(a)
maximize 100x1 + 200x2 + 300x3 + 400x4
(b)
subject to
x12x2 3x3 - 4x4 10,
-5x16x27x3+8x4-20,
9x110x211x3 - 12x4 = 30,
x1,x30,
x40,
x2 unrestricted
maximize
4
subject to
x4x12x2+4x3,
x4 -2x13x2-5x3,
x43x14x2+6x3,
x1 + x2 x3 = 1,
x1, x2, x30,
x4 unrestricted
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