Solve the linear programming problem by the simplex method. Maximize P = 15x + 13y subject to x + y≤ 12 3x + y< 30 10x + 7y≤ 70 x ≥ 0, y ≥ 0 The maximum is P = 270 Xat (x, y) = 38,20 X

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 = 15x + 13y
subject to
x + y≤ 12
y ≤ 30
3x +
10x + 7y≤ 70
x ≥ 0, y 20
The maximum is P = 270
X at (x, y) =
38,20
X
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize P = 15x + 13y subject to x + y≤ 12 y ≤ 30 3x + 10x + 7y≤ 70 x ≥ 0, y 20 The maximum is P = 270 X at (x, y) = 38,20 X
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