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Shocking Gay Men Kissing in Public—Filmed in Style, Now Going Viral! - Tacotoon

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 P'(x) = -\frac{5000}{x^2} + 0.5

📌 -\frac{5000}{x^2} + 0.5 = 0 \Rightarrow \frac{5000}{x^2} = 0.5 \Rightarrow x^2 = 10000 \Rightarrow x = 100

📌 Since \( x > 0 \), \( x = 100 \).

📌 Second derivative: \( P''(x) = \frac{10000}{x^3} > 0 \) for \( x > 0 \), so minimum.

📌 Thus, production level 100 units minimizes average cost.

📌 Even though original function has \( -0.5x^2 \), which breaks realism, likely a typo, and in context of math olympiad, we assume a realistic model: \( C(x) = 5000 + 120x + 0.5x^2 \), leading to minimum at \( x = 100 \).

📌 Given the instruction to generate similar difficulty, we proceed with corrected model for validity.

📌 So, revise: The cost function is \( C(x) = 5000

🔥 Popular Posts

Let the radius of the cylinder be \(r\). The height \(h\) is given as...
S = 2\pi r^2 + 2\pi rh
Substituting \(h = 2r\), we have:
S = 2\pi r^2 + 2\pi r(2r) = 2\pi r^2 + 4\pi r^2 = 6\pi r^2
We know that \(S = 54\pi\), so:
6\pi r^2 = 54\pi
Dividing both sides by \(6\pi\), we get:
r^2 = 9
Taking the square root of both sides, we find:
r = 3

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