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Home » \(\boxed36 \pi\) cubic micrometers - Anadea

\(\boxed36 \pi\) cubic micrometers - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 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

📌 Since 0.67 > 0.6, optimal not at intersection — check endpoints.

📌 Thus, maximum profit is at x = 40, y = 0 → $1600

📌 A science communicator creates a video explaining exponential growth using bacterial replication. If a culture of bacteria doubles every 20 minutes and starts with 500 cells, how many cells will be present after 5 hours?

📌 hours = 300 minutes

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