The basic solutions of the simplex method.

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Solve the following problem by inspection, 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 >=0

Reference no: EM13164803

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