1. Solve using the simplex method: Min z =- 4x1 + 6x2 – 2x3 + 4x4 X1 + 2x2 + 2X3 +4x4 < 40 2x1 – x2 + x3 +2x4 < 8 4x1 – 2x2 + X3 – X4 < 10 Subject to: - - X1,X2, X3, X4 2 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
Problem 12WE
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1. Solve using the simplex method:
Min z =- 4x1 + 6x2 – 2x3 + 4x4
X1+ 2x2 + 2x3 + 4x4 < 40
2x1 – x2 + X3 +2x4 < 8
4x1 — 2х2 + Хз — Х4 < 10
X1,X2, X3, X4 > 0
Subject to:
-
Transcribed Image Text:1. Solve using the simplex method: Min z =- 4x1 + 6x2 – 2x3 + 4x4 X1+ 2x2 + 2x3 + 4x4 < 40 2x1 – x2 + X3 +2x4 < 8 4x1 — 2х2 + Хз — Х4 < 10 X1,X2, X3, X4 > 0 Subject to: -
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