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La fonction de revenu \( R(p) \) est \( R(p) = p imes x = p(100 - 2p) = 100p - 2p^2 \).
La fonction de profit \( \Pi(p) = R(p) - C(x) \) nécessite d'exprimer \( C \) en fonction de \( p \) : \( C(x) = 50(100 - 2p) + 200 = 5000 - 100p + 200 \).
Simplifiez pour obtenir : \( \Pi(p) = 100p - 2p^2 - (5200 - 100p) = 100p - 2p^2 - 5200 + 100p \).

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