5. Solve the following problem by inspection, and justify the method of solution in terms of the...

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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 + 12xs subject to

(Hint: A basic solution consists of one variable only.)

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