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Home » Setting the volume equal to \( 288\pi \): - Sourci

Setting the volume equal to \( 288\pi \): - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Profit: P = 40x + 60y

📌 We use integer linear programming logic: test corner points of feasible region:

📌 If y = 0: x = 40 → P = 40×40 = $1600

📌 If x = 0: y = 24 → P = 60×24 = $1440

📌 Try combinations:

📌 y = 12 → 5×12 = 60 → 3x ≤ 60 → x = 20 → P = 40×20 + 60×12 = 800 + 720 = $1520

📌 y = 18 → 5×18 = 90 → 3x ≤ 30 → x = 10 → P = 400 + 1080 = $1480

📌 y = 21 → 5×21 = 105 → 3x ≤ 15 → x = 5 → P = 200 + 1260 = $1460

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