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📰 Set \( P'(x) = 0 \): no solution. So minimum does not exist — function decreases for large \( x \)? No, \( -0.5x \) dominates, so \( P(x) \to -\infty \), impossible. 📰 This suggests the model is invalid, but for math olympiad, likely the function is \( C(x) = 5000 + 120x + 0.5x^2 \). But it says \( -0.5x^2 \). 📰 Wait — perhaps it's \( C(x) = 5000 + 120x - 0.5x^2 \), but \( x \) has an upper limit. But no. 📰 2 Purple Magic Revealed The Easiest Step By Step Trick You Need Now 7775267 📰 Ct Escorts 6077897 📰 Unarchiver Mac App Store 📰 Cuanto Vale Un Bitcoin 📰 John Gianaris 5032706 📰 Lock Directory 📰 Microsoft Building 3 📰 Games Online For Computer 📰 Crazy Gamesa 📰 Alphonso Mango 9205169 📰 This Raw Moment From Copc Mychart Changed Everything No Fake News 1163763 📰 Dividend Stocks That Pay Monthly 8011158 📰 Shocked That Gravy Is This Easy Watch The Ultimate Guide Now 3029012 📰 No Tech Skills Needed Instant Windows 10 9653779 📰 Adamently 6529333