Solve by computational procedure of big – m method, Operation Research

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Example 2

Max Z = 3x₁ - x₂

Subject to

2x₁ + x₂≥ 2

x₁+ 3x₂ ≤ 3

x₂≤ 4

& x₁≥ 0, x₂≥ 0

Answer

SLPP

Max Z = 3x₁ - x₂+ 0s₁ + 0s₂+ 0s₃- M a₁

Subject to

2x₁ + x₂- s₁+ a₁= 2

x₁+ 3x₂ + s₂ = 3

x₂+ s₃ = 4

x₁, x₂, s₁, s₂, s₃, a₁≥ 0

As all Δ_j≥ 0, optimal basic feasible solution is achieved. Hence the solution is Max Z = 9, x₁= 3, x₂ = 0

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