Maximize P=3x1+5x2+2x3   Subject to: 3x1+4x2+5x3≤10 x1+3x2+10x3≤5 x1−2x2≤1 x1,x2,x3≥0   and give the value of x1 that maximizes P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Maximize

P=3x1+5x2+2x3
 
Subject to:
3x1+4x2+5x3≤10
x1+3x2+10x3≤5
x1−2x2≤1
x1,x2,x3≥0
 
and give the value of x1 that maximizes P.
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