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Home » Finally! Console Wii Mini Layout That Bundles Retro Joy with Modern Minimalism! - Upplift

Finally! Console Wii Mini Layout That Bundles Retro Joy with Modern Minimalism! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 No solution in reals — derivative never zero.

📌 But this suggests no critical point. However, for minimum, consider behavior.

📌 Wait — likely the model is \( C(x) = 5000 + 120x + 0.5x^2 \) for increasing marginal cost, but given is \( -0.5x^2 \), which causes average cost to eventually decrease — not realistic.

📌 But assuming the function is correct as stated, and the goal is to minimize \( P(x) = \frac{5000}{x} + 120 - 0.5x \), set:

📌 P'(x) = -\frac{5000}{x^2} - 0.5 = 0 \quad \text{has no solution}

📌 So no minimum — but this contradicts realistic models.

📌 Alternatively, perhaps the function is \( C(x) = 5000 + 120x - 0.5x^2 \), and we want to minimize **total cost**, not per unit. But the problem says "cost per unit."

📌 Reinterpreting: "cost per unit" is standard, and we must minimize \( P(x) = C(x)/x \). But if \( C(x) = 5000 + 120x - 0.5x^2 \), then for large \( x \), the \( -0.5x^2 \) dominates and cost per unit becomes negative — impossible.

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