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Home » \[ c = \sqrta^2 + b^2 \] - Groen Casting

\[ c = \sqrta^2 + b^2 \] - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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

📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If the first term is 5 and the common difference is 3, find \( S_{15} \).

📌 \( a = 5, d = 3, n = 15 \)

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