Consider the following linear programming problem. Maximize P = 4x + 5y subject to the constraints 3x + 8y ≤ 1 4x - 5y ≤ 4 2x + 7y ≤ 6 x = 0, y ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P= 4x + 5y subject to 3x + 8y 1 4 6 0 4x - 5y 2x + 7y xz0 y20 (b) Write the initial simplex tableau. X 3 -4 x 2 X 0 x ≤1 ≤4 ≤6 y X X x x 8 5 7 0 W x x x 0 0 0 1 x x 0 0 6 0 x 0 4 6 0 X x X Constant 1 4 6 0

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