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Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 56 2x + y z ≤ 28 -x + y + z ≤ 56 x ≥ 0, y ≥ 0, z 20 The maximum is P = 140 - at (x, y, z) = 28, 42, 84 x ).

Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 56 2x + y z ≤ 28 -x + y + z ≤ 56 x ≥ 0, y ≥ 0, z 20 The maximum is P = 140 - at (x, y, z) = 28, 42, 84 x ).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 56 2x + y z ≤ 28 -x + y + z ≤ 56 x ≥ 0, y ≥ 0, z 20 The maximum is P = 140 - at (x, y, z) = 28, 42, 84 x ).
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 56 2x + y z ≤ 28 -x + y + z ≤ 56 x ≥ 0, y ≥ 0, z 20 The maximum is P = 140 - at (x, y, z) = 28, 42, 84 x ).
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