Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y 2x + y -x + y + z ≤ 20 x ≥ 0, y ≥ 0, z 20 The maximum is P = z ≤ 20 - Z≤ 10 z at (x, y, z) =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Solve the linear programming problem by the simplex method.
Maximize
P = x + 4y - 2z
subject to
Z≤ 20
3x + y
2x + y
Z≤ 10
-x + y +
z ≤ 20
x ≥ 0, y≥ 0, z ≥ 0
The maximum is P =
-
at (x, y, z) =
(
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to Z≤ 20 3x + y 2x + y Z≤ 10 -x + y + z ≤ 20 x ≥ 0, y≥ 0, z ≥ 0 The maximum is P = - at (x, y, z) = (
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