Given the following conditions, determine the optimal solution. That is x1, x2 and a Te s0 3 -2(х, — 1) - 1<0 1. aL <0= -2x2e*ź - 1 < 0 əx2 - ƏL 3. X1 3D 0 — х,[-2(х, — 1) - 2] %3D 0 ax1 | aL 4. X2 = 0 = x2[-2x2e*á - 2] = 0 · əx2 %3D - ƏL 5. an s0=2- xỉ – x < 0 6. A = 0 = 1(2 – xỉ – x2) = 0 %3D 7. X1 2 0,x2 2 0 and 2 > 0 Please show all working 2.

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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Given the following conditions, determine the optimal solution. That is x1, X2 and 2
aL
1.
<0= -2(x1 – 1) - a < 0
əx1
ƏL
2.
<0= -2xze%í - 1<0
Əx2
ƏL
3. Х1
əx1
= 0 = x,[-2(x1 – 1) - 1] =
|
aL
4. X2 əx2
= 0 = x2[-2x2e* - 2] = 0
aL
5.
aa
<0=2- xỉ – xị < 0
ƏL
6. 1 = 0 = 1(2 – xỉ – x3) = 0
|
-
7. X1 2 0, x2 2 0 and 2 2 0
Please show all working
Transcribed Image Text:Given the following conditions, determine the optimal solution. That is x1, X2 and 2 aL 1. <0= -2(x1 – 1) - a < 0 əx1 ƏL 2. <0= -2xze%í - 1<0 Əx2 ƏL 3. Х1 əx1 = 0 = x,[-2(x1 – 1) - 1] = | aL 4. X2 əx2 = 0 = x2[-2x2e* - 2] = 0 aL 5. aa <0=2- xỉ – xị < 0 ƏL 6. 1 = 0 = 1(2 – xỉ – x3) = 0 | - 7. X1 2 0, x2 2 0 and 2 2 0 Please show all working
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