Using duality theory find the solution to the following linear program: z = x₁ + 2x₂ + ... + NXn x₁ ≥ 1 x₁ + x₂ ≥ 2 ⠀ x₁ + x₂ + x3 + ... + x n ≥n X1, X2, X3,..., xn ≥ 0. minimize subject to

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