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Home » Divide by 2 to find \(z\): - Groen Casting

Divide by 2 to find \(z\): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Sei \( x \) die Anzahl der Einheiten von Material A und \( y \) die Anzahl der Einheiten von Material B.

📌 Die Festigkeitsbeschränkung ist \( 10x + 7y \geq 85 \).

📌 Die Kostenfunktion ist \( C = 50x + 30y \).

📌 Wir wollen \( C \) unter der Festigkeitsbeschränkung minimieren.

📌 Drücke \( y \) in Bezug auf \( x \) aus der Festigkeitsbeschränkung aus: \( y \geq \frac{85 - 10x}{7} \).

📌 Setze in die Kostenfunktion ein: \( C = 50x + 30\left(\frac{85 - 10x}{7}\right) \).

📌 Vereinfache: \( C = 50x + \frac{2550 - 300x}{7} \).

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