max –x1 – 2x2 s.t. x1 – x2 ≤ 6 x1 + 2x2 ≥ 4 x1, x2 ≥ 0 For the LP problem above, which of the following statement is true? The LP has a unique optimal solution. The LP has multiple optimal solutions. The LP has no feasible solution. The LP is unbounded

max –x1 – 2x2 s.t. x1 – x2 ≤ 6 x1 + 2x2 ≥ 4 x1, x2 ≥ 0 For the LP problem above, which of the following statement is true? The LP has a unique optimal solution. The LP has multiple optimal solutions. The LP has no feasible solution. The LP is unbounded

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

max   –x₁ – 2x₂

s.t.   x₁ – x₂ ≤ 6

      x₁ + 2x₂ ≥ 4

       x₁, x₂ ≥ 0

For the LP problem above, which of the following statement is true?

The LP has a unique optimal solution.

The LP has multiple optimal solutions.

The LP has no feasible solution.

The LP is unbounded.

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