3. Use graphical method to solve the following linear programming problem and identify the nature of the solution (unique optimal solution, infinitely many optimal solutions, unbounded solution, or infeasible solution). (1) max 2 = s.t. 2x1 + 3x2 x1 + 2x2 ≤ 8 x1 + x₂ ≥ 1 x2 ≤4 x1, x2 > 0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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3. Use graphical method to solve the following linear programming problem and identify the
nature of the solution (unique optimal solution, infinitely many optimal solutions, unbounded
solution, or infeasible solution).
(1)
max 2 =
s.t.
2x1 + 3x2
x1 + 2x2 ≤ 8
x1 + x₂ ≥ 1
x2 ≤4
x1, x2 > 0
Transcribed Image Text:3. Use graphical method to solve the following linear programming problem and identify the nature of the solution (unique optimal solution, infinitely many optimal solutions, unbounded solution, or infeasible solution). (1) max 2 = s.t. 2x1 + 3x2 x1 + 2x2 ≤ 8 x1 + x₂ ≥ 1 x2 ≤4 x1, x2 > 0
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