Solve the following by inspection (using graph), and justify the method of solution in terms of the basic solutions of the simplex method. Maximize z = 5x₁ - 6x₂ + 3x3 - 5x4 + 12x5 subject to x₁ + 3x₂ + 5x3 + 6x4 + 3x5 ≤ 90 X1, X2, X3, X4, X5 20

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