Maximize subject to Z = 4x₁ + 3x₂ + 6x3, 3x₁ + x₂ + 3x3 ≤ 30 2x₁ + 2x₂ + 3x3 ≤ 40 and

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DI 4.3-4.* Work through the simplex method (in algebraic form)
step by step to solve the following problem.
Maximize
Z = 4x₁ + 3x₂ + 6x3,
subject to
3x₁ + x₂ + 3x3 ≤ 30
2x₁ + 2x₂ + 3x3 ≤ 40
and
X₁ ≥ 0,
X₂ ≥ 0,
X3 ≥ 0.
Transcribed Image Text:DI 4.3-4.* Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = 4x₁ + 3x₂ + 6x3, subject to 3x₁ + x₂ + 3x3 ≤ 30 2x₁ + 2x₂ + 3x3 ≤ 40 and X₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0.
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