1. The program max x1 + 2x₂ subject to 2x1 + x2 x1 + 2x₂ <3 ≤3 x1, x2 > 0. has X* = (1, 1) as an optimal solution point. Determine an optimal solution point to its dual.
1. The program max x1 + 2x₂ subject to 2x1 + x2 x1 + 2x₂ <3 ≤3 x1, x2 > 0. has X* = (1, 1) as an optimal solution point. Determine an optimal solution point to its dual.
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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Linear Programming
Transcribed Image Text:max
1. The program
x1 + 2x₂
2x1 + x2
x1 + 2x₂
x1, x2 > 0.
has X* = (1, 1) as an optimal solution point. Determine an optimal solution
point to its dual.
subject to
<3
<3
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![a.
Duality: A Continuation
4 problems
your de plong
(1)
9
@9
пред
T
{
xow
7.5
min
7.51
Ⓒ
Determine the dud
s.t
хош
xow
7.56
St
sit [y₁
EX+₁ + x + ¹x9
ext
si]
[of] [OE ST] U₁L) (10
th
3x₁ + x₂ + x3 =15
X₁₂
2x₂ + 3x3 = 20
X1, X2, X370
exb ixel
12x1 + 9x₂ - 2x3
१८ Ex5 x६
92 EXS + exε + ¹x8
ипо
X₁₂
[Y₁ Y ₂
tox Extex 1x
97
Lig√ [+- 2
Fahr
- 3x37-4
Y ₂ ] [ 8
15y₁ + 204₂
√39₁ +9₂ 2 6
ус угго
√371²
1 -2 1
1²2 off - ift
of + f
0 < ²6 16
8 3
2
[[
5
0 3
カマ
bi <
VI
92
b
4
te
22/23
the following
max 6y₁ - 492
(0) √ sit 84₁ + y₂ ≤ 12
Зус
6 =
59₁-3y2 ≤-2
9₁, 9₂0](https://content.bartleby.com/qna-images/question/79599c56-a340-49a0-b0ff-829b3947a798/21b1959a-ccdf-4d0e-877f-89e47bf74b8c/01kmelf_processed.jpeg)
Transcribed Image Text:a.
Duality: A Continuation
4 problems
your de plong
(1)
9
@9
пред
T
{
xow
7.5
min
7.51
Ⓒ
Determine the dud
s.t
хош
xow
7.56
St
sit [y₁
EX+₁ + x + ¹x9
ext
si]
[of] [OE ST] U₁L) (10
th
3x₁ + x₂ + x3 =15
X₁₂
2x₂ + 3x3 = 20
X1, X2, X370
exb ixel
12x1 + 9x₂ - 2x3
१८ Ex5 x६
92 EXS + exε + ¹x8
ипо
X₁₂
[Y₁ Y ₂
tox Extex 1x
97
Lig√ [+- 2
Fahr
- 3x37-4
Y ₂ ] [ 8
15y₁ + 204₂
√39₁ +9₂ 2 6
ус угго
√371²
1 -2 1
1²2 off - ift
of + f
0 < ²6 16
8 3
2
[[
5
0 3
カマ
bi <
VI
92
b
4
te
22/23
the following
max 6y₁ - 492
(0) √ sit 84₁ + y₂ ≤ 12
Зус
6 =
59₁-3y2 ≤-2
9₁, 9₂0
Solution
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