Solve the linear programming problem by the simplex method. Maximize P = x + 2yz subject to 2x + y + 4x + 2y + 2x + 5y + x ≥ 0, y ≥ The maximum is P = z≤ 12 3z ≤ 24 5z ≤ 36 0, z ≥ 0 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 + 2y - z
subject to
y +
2x +
4x + 2y +
2x + 5y +
The maximum is P =
x ≥ 0, y ≥
Z ≤ 12
3z ≤ 24
5z ≤ 36
0, z ≥ 0
at (x, y, z) =
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize P = x + 2y - z subject to y + 2x + 4x + 2y + 2x + 5y + The maximum is P = x ≥ 0, y ≥ Z ≤ 12 3z ≤ 24 5z ≤ 36 0, z ≥ 0 at (x, y, z) =
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