Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the maximum value of P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Maximize  
\[ P = x_1 + 2x_2 + x_3, \]

Subject to:  
\[ 3x_1 + x_2 + x_3 \leq 4 \]  
\[ x_1 + x_2 + 2x_3 \leq 4 \]  
\[ x_1, x_2, x_3 \geq 0 \]

and give the maximum value of \( P \).
Transcribed Image Text:Maximize \[ P = x_1 + 2x_2 + x_3, \] Subject to: \[ 3x_1 + x_2 + x_3 \leq 4 \] \[ x_1 + x_2 + 2x_3 \leq 4 \] \[ x_1, x_2, x_3 \geq 0 \] and give the maximum value of \( P \).
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