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Home » Substitute \( d = 1 \) into (1), (3), and (4): - Groen Casting

Substitute \( d = 1 \) into (1), (3), and (4): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\( x = -\frac{40}{2 \times -2} = 10 \) (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...
\( a = 5, d = 3, n = 15 \)
\( S_{15} = \frac{15}{2}(2 \times 5 + 14 \times 3) \)
\( S_{15} = \frac{15}{2}(10 + 42) \)
\( S_{15} = \frac{15}{2} \times 52 = 15 \times 26 = 390 \)

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