Consider the following LP: z = 5x₁ + 3x2 + x3 s.t. 2x₁ + x₂ + x3 ≤ 6 x₁ + 2x₂ + x3 ≤ 7 X1, X2, X3 ≥ 0. max Find the dual of this LP and graphically solve the dual. Then use complementary slackness to solve the max problem (the primal).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following LP:
5x₁+3x2 + x3
s.t. 2x₁ + x₂ + x3 ≤ 6
x₁ + 2x₂ + x3 ≤ 7
X1, X2, X3 ≥ 0.
max
2 =
Find the dual of this LP and graphically solve the dual. Then use complementary slackness to
solve the max problem (the primal).
Transcribed Image Text:Consider the following LP: 5x₁+3x2 + x3 s.t. 2x₁ + x₂ + x3 ≤ 6 x₁ + 2x₂ + x3 ≤ 7 X1, X2, X3 ≥ 0. max 2 = Find the dual of this LP and graphically solve the dual. Then use complementary slackness to solve the max problem (the primal).
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