Please show all work when answering the simplex method question. The initial starting point is shown in the image. This is an ungraded lecture problem. Solve the following LP problem using the simplex methodmin z = -5x₁ - 7x2 - 12x3 + x4Is. t.2x1+3x2+2x3 + x4≤ 383x1 + 2x2 + 4x3 − x4 ≤ 55T1, T2, T3, T4 ≥ 0Tini = (0,0,0,0)¹.

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Answered: Solve the following LP problem using…

Solve the following LP problem using the simplex method min z = -5x₁ - 7x2 - 12x3 + x4 I s. t. 2x1+3x2+2x3 + x4≤ 38 3x1 + 2x2 + 4x3 − x4 ≤ 55 T1, T2, T3, T4 ≥ 0 Tini = (0,0,0,0)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 3BEXP

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Question

Please show all work when answering the simplex method question. The initial starting point is shown in the image.

This is an ungraded lecture problem.

Solve the following LP problem using the simplex method
min z = -5x₁ - 7x2 - 12x3 + x4
I
s. t.
2x1+3x2+2x3 + x4≤ 38
3x1 + 2x2 + 4x3 − x4 ≤ 55
T1, T2, T3, T4 ≥ 0
Tini = (0,0,0,0)¹.

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