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5. Solve the following problem by inspection, and justify the method of solution in terms of the basic solutions of the simplex method. Maximize z

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5. Solve the following problem by inspection, and justify the method of solution in terms of the basic solutions of the simplex method. Maximize z = 5x,-6x2 + 3x3-5x4 + 12x5 subject to xi +3x2+ 5x3 + 6x4 + 3x5 s 90 (Hint: A basic solution consists of one variable only.)

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