Answered: Given the following LP Max 4x1 +…

Given the following LP Max 4x1 + 6x2 s.t 1. 2x1 + 2x2 >_ 3, 2. x1 + 3x2 _> 2, 3. x1 + 3x2 _> 0, Find its dual LP. Use the graphical method or the Simplex algorithm, solve the primal LP in (1).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 2CEXP

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Question

Given the following LP

Max 4_x1 + 6_x2

_s.t 1. 2_{x1 +} 2_x2 >_ 3,

2. x_1 ⁺3_{x2 _^>}2,

3. x_1 ⁺3_x2 _> 0,

Find its dual LP.

Use the graphical method or the Simplex algorithm, solve the primal LP in (1).

Part 3. Use graphical method or the Simplex algorithm, solve the dual LP that you find in Part A

Given the following LP

Max 3_x1 + 2_x2

_s.t 2_{x1 +} x₂ <_ 4,

x_1 ⁺3_{x2 <_} 6,

x_1 ⁺_x2 _< 0,

Find its dual LP

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