For the following problemMinimize W=2X1+10X2+8X3Subject toX1+X2+X3 26X2+2X3 2 8X1+2X2+2X324X1 20, X2 20 and X3 20Found the associated dual problemMaximize Z=6 Y1+8 Y2 +4 Y3Subject to1Y1+ 0Y2 + -1Y3 S2.1Y1+ 1Y2 + 2Y3 S101Y1+ 2Y2 + 2Y3 sY1 2 0,Y22 O and Y3 2 0Solve the dual problem and get the solution of the basic problem:X1=X2=and X3Dco

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Description: For the following problemMinimize W=2X1+10X2+8X3Subject toX1+X2+X3 26X2+2X3 2 8X1+2X2+2X324X1 20, X2 20 and X3 20Found the associated dual problemMaximize Z=6 Y1+8 Y2 +4 Y3Subject to1Y1+ 0Y2 + -1Y3 S2.1Y1+ 1Y2 + 2Y3 S101Y1+ 2Y2 + 2Y3 sY1 2 0,Y22 O a

To define the dual problem of the given primal problem, identify the number of variables and the…

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For the following problem Minimize W=2X1+10X2+8X3 Subject to X1+X2+X3 26 X2+2X3 2 8 -X1+2X2+2X324 X12 0, X2 2 0 and X3 20 Found the associated dual problem Maximize Z= 6 Y1+ 8 Y2 + 4 Y3 Subject to Y1+ 0 Y2 + -1 Y3 S 1 Y1+ 1 Y2 + 2 Y3 S 10 Y1+ 2 Y2+ 2 Y3 S 08. Y1 2 0,Y22 0 and Y3 2 0 Solve the dual problem and get the solution of the basic problem: X1= ,X2= and X3=

For the following problem Minimize W=2X1+10X2+8X3 Subject to X1+X2+X3 26 X2+2X3 2 8 -X1+2X2+2X324 X12 0, X2 2 0 and X3 20 Found the associated dual problem Maximize Z= 6 Y1+ 8 Y2 + 4 Y3 Subject to Y1+ 0 Y2 + -1 Y3 S 1 Y1+ 1 Y2 + 2 Y3 S 10 Y1+ 2 Y2+ 2 Y3 S 08. Y1 2 0,Y22 0 and Y3 2 0 Solve the dual problem and get the solution of the basic problem: X1= ,X2= and X3=

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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For the following problem
Minimize W=2X1+10X2+8X3
Subject to
X1+X2+X3 26
X2+2X3 2 8
X1+2X2+2X324
X1 20, X2 20 and X3 20
Found the associated dual problem
Maximize Z=
6 Y1+
8 Y2 +
4 Y3
Subject to
1
Y1+ 0
Y2 + -1
Y3 S
2.
1
Y1+ 1
Y2 + 2
Y3 S
10
1
Y1+ 2
Y2 + 2
Y3 s
Y1 2 0,Y22 O and Y3 2 0
Solve the dual problem and get the solution of the basic problem:
X1=
X2=
and X3D
co

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