4. Write the standard primal and dual for each of the following problems: (a) Minimum z = 5x1 – 3x2 - Subject to X1 + x2 – 2x3 > 2 Зх, — х2 + хз 23 X1, X2, X3 2 0 (b) Minimum z = = 2x1 + x2 + 4x3 Subject to X1 + x2 + 2x3 2x1 + x2 + 3x3 = 5 X1, X2, X3 2 0 (c) Minimum z = 3x1 – 2x2 + 4x4 %3D Subject to 2x1 – x2 + 4x3 +x4 < 5 X1 + x2 + 2x3 < 4 2x1 – x2 + x3 > 1 X1, X2, X3, X4 2 0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. Write the standard primal and dual for each of the following problems:
(a) Minimum z =
5x1 – 3x2
Subject to
X1 + x2 – 2x3 2 2
-
Зх, — х2 + хз 23
X1, X2, X3 > 0
(b) Minimum
z = 2x, + x2 + 4x3
Subject to
X1 + x2 + 2x3 = 3
2x1 + x, + 3xз — 5
X1, X2, X3 2 0
(c) Minimum z = 3x, – 2x2 + 4x4
Subject to
2x1 – x2 + 4x3 + x4 < 5
X1 + x2 + 2x3 < 4
2x1 – x2 + x3 2 1
X1, X2, X3, X4 20
Transcribed Image Text:4. Write the standard primal and dual for each of the following problems: (a) Minimum z = 5x1 – 3x2 Subject to X1 + x2 – 2x3 2 2 - Зх, — х2 + хз 23 X1, X2, X3 > 0 (b) Minimum z = 2x, + x2 + 4x3 Subject to X1 + x2 + 2x3 = 3 2x1 + x, + 3xз — 5 X1, X2, X3 2 0 (c) Minimum z = 3x, – 2x2 + 4x4 Subject to 2x1 – x2 + 4x3 + x4 < 5 X1 + x2 + 2x3 < 4 2x1 – x2 + x3 2 1 X1, X2, X3, X4 20
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