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1. max 1,1 + x2,2 3,3 + 4,4+ 5,5. 2. x₁ + 4x +9x3 + 16x4 + 25x ≤ 100. 3. 4. 20 1+1 21 12 23 + + + + 2+x2 3+23 4+24 5+25 6+26 + *5> 10. x1 - x2 ≤ 1 x1x2 + x3 x4 ≤ 1 X2 x1x2 + x3x4+x5x6 ≤ 1 x1x2 + x3 x4 x5 x6 +x7x8 ≤ 1 x6 x7x8x9 10 1 x1 - x2 + x3 x4+x5 - - -

1. max 1,1 + x2,2 3,3 + 4,4+ 5,5. 2. x₁ + 4x +9x3 + 16x4 + 25x ≤ 100. 3. 4. 20 1+1 21 12 23 + + + + 2+x2 3+23 4+24 5+25 6+26 + *5> 10. x1 - x2 ≤ 1 x1x2 + x3 x4 ≤ 1 X2 x1x2 + x3x4+x5x6 ≤ 1 x1x2 + x3 x4 x5 x6 +x7x8 ≤ 1 x6 x7x8x9 10 1 x1 - x2 + x3 x4+x5 - - -

Advanced Engineering Mathematics
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 each of the following as compactly as possible using summation and “for all” indexed notation.
1. max 1,1 + x2,2 + x3,3 + x4,4 +5,5. 2. x₁ +4x2+9x3 + 16x4 + 25x ≤ 100. 3. 4. 20 + 1+1 1₂ + 2+x2 3+23 + 23 4+24 + 4 + 5+25 - *5> 10. 6+26 X1 X2 ≤ 1 - x1x2 + x3 4 ≤ 1 X1 x2 + x3x4+x5 x6 ≤ 1 x1x2x3x4+x5 x6 x7x8 ≤ 1 X6 + X7 X8+ x9- - X1 X2 X3x4+x5 - 10 1
Transcribed Image Text:1. max 1,1 + x2,2 + x3,3 + x4,4 +5,5. 2. x₁ +4x2+9x3 + 16x4 + 25x ≤ 100. 3. 4. 20 + 1+1 1₂ + 2+x2 3+23 + 23 4+24 + 4 + 5+25 - *5> 10. 6+26 X1 X2 ≤ 1 - x1x2 + x3 4 ≤ 1 X1 x2 + x3x4+x5 x6 ≤ 1 x1x2x3x4+x5 x6 x7x8 ≤ 1 X6 + X7 X8+ x9- - X1 X2 X3x4+x5 - 10 1
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