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#### \( (1, -1) \) - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 12! = 479001600 \\

📌 5! = 120, \quad 4! = 24, \quad 3! = 6 \\

📌 \], por lo tanto:

📌 \frac{479001600}{120 \times 24 \times 6} = \frac{479001600}{17280} = 27720

📌 \boxed{27720}

📌 \]1. Une entreprise produit deux types de gadgets : A et B. Le gadget A nécessite 3 heures de travail, et le gadget B nécessite 4 heures. Dans une journée, la main-d'œuvre totale disponible est de 240 heures. Si l'entreprise doit produire au moins 30 gadgets de type A, quel est le nombre maximum de gadgets de type B qu'elle peut produire ?

📌 Pour résoudre cela, soit \( x \) le nombre de gadgets A et \( y \) le nombre de gadgets B. La contrainte de travail est \( 3x + 4y \leq 240 \). La contrainte de production pour le gadget A est \( x \geq 30 \).

📌 Substituez \( x = 30 \) dans la contrainte de travail :

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