Question: Solve the following problem by inspection, and justify the method of solution in terms of the basic solution of the simplex method. Maximize z =

Solve the following problem by inspection, and justify the method of solution in terms of the basic solution 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
(Hint: A basic solution consists of one variable only.)

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