1. Maximize : x1+5x2– x3 xị +x2 2 18 2x1 +x2 +x3 < 40 X1 +x3 2 20
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi, can you show steps for maximizing and minimizing? Thank you.

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1.
Maximize : x1+5x2– x3 2.
x1 +x2 2 18
2x1 +x2 +x3 < 40
Махіmize : X1 + 5x, + 2хз
x1 +3x2 +x3 < 30
2x1 +x2 2 20
2x1 + 2x2 +3xz 2 50
X1 +x3 2 20
3.
Minimize : 4y1+3у2 +уз
3y1 +y2 + 2y3 > 30
4y1 +3y2 < 25
2у1 + 3у2 +уз 2 45
!!

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Minimize : 3yı+y2+4y3 _2.
Minimize : 6yi+4y2+2y3
2yı +2y2 +y3 2 2
yi +3y2 + 2y3 23
yi +y2 +2y3 2 4
1.
2y1 +y2 +y3 26
yi + 2y2 +y3 2 8
2у1 +у2 + 2уз 2 12
3.
4.
Minimize : 20yı + 12y2 + 40y3
Minimize : 4yi +2y2 +y3
Yi +y2 +y3 24
3yı +y2 +3y3 2 6
yi +y2+3y3 2 5
yi +y2 +5y3 2 20
2у1 +у2 +уз 2 30
II
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