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<?xml-stylesheet type="text/xsl" href="Problemes.xsl"?>

<ListeProblemes>
<Probleme nom="PB1">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="x1&lt;=0"/>
<Contrainte c="x2&gt;=0"/>
<Contrainte c="2x1+2x2&lt;=200"/>
<Contrainte c="3x1+x2&lt;=150"/>
<Resultat>
<Variable2>x1=0.0</Variable2>
<Variable2>x2=100.0</Variable2>
<FctObj2 optim="1000.0"/>
</Resultat>
</Probleme>
<Probleme nom="PB2">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="x1+2x2&lt;=6"/>
<Contrainte c="x1+x2&lt;=0"/>
<Contrainte c="x1&lt;=3"/>
<Resultat>
<Variable2>x1=3.0</Variable2>
<Variable2>x2=-3.0</Variable2>
<FctObj2 optim="3.0"/>
</Resultat>
</Probleme>
<Probleme nom="PB3">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="2x1+4x2+5x3+7x4&lt;=42"/>
<Contrainte c="x1+x2+2x3+2x4&lt;=17"/>
<Contrainte c="x1+2x2+3x3+3x4&lt;=24"/>
<Resultat>
<Variable2>x1=4.0</Variable2>
<Variable2>x2=1.0</Variable2>
<Variable2>x3=6.0</Variable2>
<Variable2>x4=0.0</Variable2>
<FctObj2 optim="145.0"/>
</Resultat>
</Probleme>
<Probleme nom="pb45">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="3*x1-9*x2&lt;=120"/>
<Contrainte c="3*x1-9*x2&lt;=120"/>
</Probleme>
<Probleme nom="PB1">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="x1&lt;=0"/>
<Contrainte c="x2&gt;=0"/>
<Contrainte c="2x1+2x2&lt;=200"/>
<Contrainte c="3x1+x2&lt;=150"/>
<Resultat>
<Variable2>x1=0.0</Variable2>
<Variable2>x2=100.0</Variable2>
<FctObj2 optim="1000.0"/>
</Resultat>
</Probleme>
<Probleme nom="PB2">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="x1+2x2&lt;=6"/>
<Contrainte c="x1+x2&lt;=0"/>
<Contrainte c="x1&lt;=3"/>
<Resultat>
<Variable2>x1=3.0</Variable2>
<Variable2>x2=-3.0</Variable2>
<FctObj2 optim="3.0"/>
</Resultat>
</Probleme>
<Probleme nom="PB3">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="2x1+4x2+5x3+7x4&lt;=42"/>
<Contrainte c="x1+x2+2x3+2x4&lt;=17"/>
<Contrainte c="x1+2x2+3x3+3x4&lt;=24"/>
<Resultat>
<Variable2>x1=4.0</Variable2>
<Variable2>x2=1.0</Variable2>
<Variable2>x3=6.0</Variable2>
<Variable2>x4=0.0</Variable2>
<FctObj2 optim="145.0"/>
</Resultat>
</Probleme>
<Probleme nom="pb45">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="maximiser"/>
<Contrainte c="3*x1-9*x2&lt;=120"/>
<Contrainte c="3*x1-9*x2&lt;=120"/>
</Probleme>
<Probleme nom="test">
<Variable>x1</Variable>
<Variable>x2</Variable>
<FctObj fct="Z=3x1-5x2" objectif="minimiser"/>
<Contrainte c="x1&lt;=0"/>
</Probleme>
</ListeProblemes>
