Use the simplex method to solve the linear programming problem. Maximize z = 3x₁ + 2x2 subject to: 2x1 + 3x2 ≤ 4 4x1 + 2x2 ≤ 12 with x₁ ≥ 0, X2 20 Maximum is 9 when x1 = 3, x2 = 0 Maximum is 12 when x1 = 2, x2 = 3 Maximum is 4 when x1 = 0, x2 = 2 Maximum is 6 when x1 = 2, x2 = 0.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 34E
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Question 20
Use the simplex method to solve the linear programming problem.
Maximize z = 3x₁ + 2x2
subject to: 2x1 + 3x2 ≤ 4
4x1 + 2x2 ≤ 12
with X₁ ≥ 0, X₂ ≥ 0
Maximum is 9 when x1 = 3, x2 = 0
Maximum is 12 when x1 = 2, x2 = 3
Maximum is 4 when x1 = 0, x2 = 2
Maximum is 6 when x₁ = 2, x2 = 0
Transcribed Image Text:Question 20 Use the simplex method to solve the linear programming problem. Maximize z = 3x₁ + 2x2 subject to: 2x1 + 3x2 ≤ 4 4x1 + 2x2 ≤ 12 with X₁ ≥ 0, X₂ ≥ 0 Maximum is 9 when x1 = 3, x2 = 0 Maximum is 12 when x1 = 2, x2 = 3 Maximum is 4 when x1 = 0, x2 = 2 Maximum is 6 when x₁ = 2, x2 = 0
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