Use the simplex method to solve the linear programming problem. Maximize z = 5x1 + 3x2 subject to: 2x1 + 4x2 ≤ 13 X1 + 2x2 ≤ 6 with x₁ ≥ 0, x2 20 Maximum is 18 when x1 = 0, x2 = 6 Maximum is 9 when x1 = 0, x2 = 3 Maximum is 32.5 when x1 = 6.5, x2 = 0 Maximum is 30 when x1 = 6, x2 = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 19
Use the simplex method to solve the linear programming problem.
Maximize z = 5x1 + 3x2
subject to: 2x₁ + 4x2 ≤ 13
X1 + 2x₂ ≤ 6
with x₁ ≥ 0, x2 ≥ 0
Maximum is 18 when x1 = 0, x2 = 6
Maximum is 9 when x1 = 0, x2 = 3
Maximum is 32.5 when x1 = 6.5, x2 = 0
Maximum is 30 when x1 = 6, x2 = 0
Transcribed Image Text:Question 19 Use the simplex method to solve the linear programming problem. Maximize z = 5x1 + 3x2 subject to: 2x₁ + 4x2 ≤ 13 X1 + 2x₂ ≤ 6 with x₁ ≥ 0, x2 ≥ 0 Maximum is 18 when x1 = 0, x2 = 6 Maximum is 9 when x1 = 0, x2 = 3 Maximum is 32.5 when x1 = 6.5, x2 = 0 Maximum is 30 when x1 = 6, x2 = 0
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