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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 zSr,-6x2

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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 zSr,-6x2 + 3x)-5x4 +12x, subject to x1 + 3x2 + 5) + 64 + 3x5 s 90 (Hint: A basic solution consists of one variable only.)

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