Consider the following linear programming problem. Maximize P = 4x + 5y + 6z subject to the constraints 2x + 3y + z < 900 3x + y + z < 350 4x + 2y + z S 400 x 2 0, y 2 0, z 2 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P = subject to < 900 < 350 < 400 x 2 0 y 2 0 z20 (b) Write the initial simplex tableau. y z w u v P Constant 900 350 400

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