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Home » \sqrt2625 \approx 51.23 - Get link 4share

\sqrt2625 \approx 51.23 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Set to zero:

📌 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."

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