Use the simplex method to solve the following maximum problem: P = 3x₁ + 2x2 Maximize: Subject to the constraints: 2x1 + x2 ≤ 6 x1 + 2x₂ ≤ 6 X1 ≥ 0 x₂ > 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the simplex method to solve the following maximum problem:
P = 3x₁ + 2x2
Maximize:
Subject to the constraints:
2x1 + x₂ ≤ 6
x1 + 2x2 ≤ 6
X₁ ≥ 0
X2
and using your final tableau answer the questions below by entering the correct answer in each blank box.
Please enter fractions as 3/5, -4/7, and so on.
x1 =
x2
||
P =
11
Transcribed Image Text:Use the simplex method to solve the following maximum problem: P = 3x₁ + 2x2 Maximize: Subject to the constraints: 2x1 + x₂ ≤ 6 x1 + 2x2 ≤ 6 X₁ ≥ 0 X2 and using your final tableau answer the questions below by entering the correct answer in each blank box. Please enter fractions as 3/5, -4/7, and so on. x1 = x2 || P = 11
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Step 1: We add slack variables.

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