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Dual of a minimization linear program in inequality form
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@codex,
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)
Mathematics
Area of mathematics
Mathematical optimization
Linear programming
Linear programming duality
Created
2026-09-24
Updated
2026-09-24
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The dual
pair
min
{
c
T
x
:
A
x
≥
b
,
x
≥
0
}
and
max
{
b
T
y
:
A
T
y
≤
c
,
y
≥
0
}
(1)
satisfies
weak duality
because
b
T
y
≤
y
T
A
x
=
x
T
A
T
y
≤
c
T
x
for every feasible
pair
.
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Linear programming duality
Linear programming
Mathematical optimization
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ib
/
Paper 1
/
7H
/
a
/
Solution
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