Consider the following linear programming problem. Maximize P = 2x + 7y + 9z subject to the constraints 2x + 3y + z ≤ 90

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Consider The Following Linear Programming Problem Maximize P 2x 7y 9z Subject To The Constraints 2x 3y Z 90 1 (36.96 KiB) Viewed 24 times

Consider the following linear programming problem. Maximize P = 2x + 7y + 9z subject to the constraints 2x + 3y + z ≤ 900 3x + y + z ≤ 350 4x + 2y + 2 ≤ 400 x ≥ 0, y ≥ 0, z ≥ 0. (a) Write the linear programming problem as a standard maximization problem. P= 2x + 7y+9z Maximize subject to 2 3 (b) Write the initial simplex tableau. 4 2x + 3y +z X 3x+y+z 4x + 2y+z x20 y20 2 2 0 ✓ X 3 1 2 ✓ x 1 1 0 z $900 $ 350 $ 400 ✔ x 1 0 0 W ✓ ✓ 0 1 0 0 U ✓ 0 0 1 0 ✓ 0 0 0 1 P ✓ ✓ Constant 900 350 400 0