Solve the linear programming problem by the simplex method. Maximize P = 18x + 14y subject to x + y≤ 12 3x + y≤ 30 10x + 7y≤ 70 x ≥ 0, y ≥ 0 The maximum is P = 180 xat (x, y) = (0,10

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= 18x + 14y
subject to
X +
y≤ 12
3x + y≤ 30
10x + 7y≤ 70
x ≥ 0, y ≥ 0
The maximum is P = 180
X at (x, y) =
0,10
✓)
Transcribed Image Text:Solve the linear programming problem by the simplex method. Maximize P= 18x + 14y subject to X + y≤ 12 3x + y≤ 30 10x + 7y≤ 70 x ≥ 0, y ≥ 0 The maximum is P = 180 X at (x, y) = 0,10 ✓)
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