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Home » Total new mixture = 30 + 10 = 40 liters. - Richter Guitar

Total new mixture = 30 + 10 = 40 liters. - Richter Guitar

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Combine les termes : \( \Pi(p) = -2p^2 + 200p - 5200 \).

📌 Pour trouver le maximum, prenez la dÃ©rivÃ©e : \( rac{d\Pi}{dp} = -4p + 200 \).

📌 DÃ©finissez la dÃ©rivÃ©e Ã zÃ©ro : \(-4p + 200 = 0 \Rightarrow p = 50 \).

📌 Le prix optimal est \( p = 50 \).

📌 #### \( p = 50 \)

📌 Un projet d'Ã©nergie renouvelable nÃ©cessite une frontiÃ¨re rectangulaire avec un pÃ©rimÃ¨tre fixe de 200 mÃ¨tres. La longueur doit Ãªtre le double de la largeur. Quels sont les dimensions qui maximisent la superficie de la frontiÃ¨re ?

📌 Soit la largeur \( w \) et la longueur \( 2w \).

📌 Contrainte du pÃ©rimÃ¨tre : \( 2(w + 2w) = 200 \Rightarrow 6w = 200 \Rightarrow w = rac{200}{6} = rac{100}{3} \).

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