Write down (without solving) the dual LP problem. Minimize c = s+6t+u 9s -t+v 23,000 u - v 21,000 subject to s+t2500 s20, t20, u 20, v 20 а. b. maximize P = 3,000x +1,000y +500z subject to 9x +z 2 1 -x+z26 y 21 x-y20 x20, y 20, z 20 b. a. maximize P =x+6y+z subject to 9x - y+w 2 3,000 z-w 21,000 x+y 2 500 x20, y 20, z 2 0, w 2 0 e. maximize P =x+6y+zsubject to 9x +y+w 23,000 z+w 2 1,000 x+y 2 500 x20, y 20, z 2 0, w 20 d. c. maximize P = 3,000x + 1,000y +500z subiect to 9x +z <1 -x+z<6 x-ys0 x20, y 20, z 2 0 e. d. maximize P =x+6y +z subject to 9x - y+w <3,000 z-wS1,000 x+y 2 500 x 20, y 2 0, z 2 0, w 2 0

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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Write down (without solving) the dual LP problem.
Minimize c =s+6t+u
95 -t+v 23,000
u - v 21,000
subject to
s+t2500
s20, t20, u 20, v 2 0
а.
b. maximize P = 3,000x + 1,000y + 500z,
subject to
9x +z 21
-x+z26
y 21
х-у20
x20, y 20, z 20
O b.
a. maximize P =x+óy +z subject to
9x - y+w 2 3,000
z-w21,000
x+y 2 500
x 20, y 20, z 2 0, w 2 0
Ос.
e. maximize P = x+6y +zsubject to
9x +y+w 2 3,000
z+w 21,000
x+y 2 500
x 20, y 20, z 2 0, w 20
d.
Z subject to
%3D
c. maximize P = 3,000x + 1,000y +500z,
9x +z<1
-x+z<6
x-y s0
x 20, y 20, z 20
Ое.
d. maximize P = x+6y +zsubject to
9x - y+w <3,000
z-w<1,000
x+y 2 500
x 20, y 2 0, z 2 0, w 2 0
Transcribed Image Text:Write down (without solving) the dual LP problem. Minimize c =s+6t+u 95 -t+v 23,000 u - v 21,000 subject to s+t2500 s20, t20, u 20, v 2 0 а. b. maximize P = 3,000x + 1,000y + 500z, subject to 9x +z 21 -x+z26 y 21 х-у20 x20, y 20, z 20 O b. a. maximize P =x+óy +z subject to 9x - y+w 2 3,000 z-w21,000 x+y 2 500 x 20, y 20, z 2 0, w 2 0 Ос. e. maximize P = x+6y +zsubject to 9x +y+w 2 3,000 z+w 21,000 x+y 2 500 x 20, y 20, z 2 0, w 20 d. Z subject to %3D c. maximize P = 3,000x + 1,000y +500z, 9x +z<1 -x+z<6 x-y s0 x 20, y 20, z 20 Ое. d. maximize P = x+6y +zsubject to 9x - y+w <3,000 z-w<1,000 x+y 2 500 x 20, y 2 0, z 2 0, w 2 0
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