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Home » 2! 🔥 Top 60th Birthday Gifts That’ll Make Your Grandpa Glow! - AMAZONAWS

2! 🔥 Top 60th Birthday Gifts That’ll Make Your Grandpa Glow! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A company’s profit \( P(x) \) in thousands of dollars is modeled by the function \( P(x) = -2x^2 + 40x - 150 \), where \( x \) is the number of units sold in hundreds. What is the maximum profit and how many units must be sold to achieve it?

📌 The vertex form of a parabola \( ax^2 + bx + c \) reaches maximum at \( x = -\frac{b}{2a} \)

📌 Here, \( a = -2, b = 40 \)

📌 \( x = -\frac{40}{2 \times -2} = 10 \) (i.e., 1000 units)

📌 Maximum profit: \( P(10) = -2(10)^2 + 40(10) - 150 \)

📌 \( P(10) = -200 + 400 - 150 = 50 \)

📌 Maximum profit is $50,000 at 1000 units.

📌 #### $50,000

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