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Home » Number of doublings: 12 / 3 = 4. - inBeat

Number of doublings: 12 / 3 = 4. - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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y = 12 → 5×12 = 60 → 3x ≤ 60 → x = 20 → P = 40×20 + 60×12 = 800 + 720...
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
y = 24 → as above → $1440
Best: x = 40, y = 0 → $1600
But try y = 15 → 5×15 = 75 → 3x ≤ 45 → x = 15 → P = 600 + 900 = $1500
Try y = 19 → 95 → 3x ≤ 25 → x = 8 → P = 320 + 1140 = $1460
Maximum occurs at x = 40, y = 0: $1600
However, check fractional optimization using slope method:
Slope of constraint: -3/5 = -0.6, profit slope = -40/-60 = 2/3 ≈ 0.67

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