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Home » \binom62 \times \binom92 - Esdistancia

\binom62 \times \binom92 - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Here, base = 9 meters, height = 12 meters.

📌 Calculate: Area = 0.5 * 9 * 12 = 54 square meters.

📌 A company produces 1200 widgets in 8 hours with 15 workers. How many widgets does one worker produce per hour?

📌 Calculate the total worker-hours: 15 workers * 8 hours = 120 worker-hours.

📌 Determine the production rate per worker per hour: 1200 widgets / 120 worker-hours = 10 widgets per worker per hour.

📌 A airplane travels 3000 kilometers in 5 hours. If it flies at a constant speed, how far will it travel in 7 hours?

📌 Calculate the speed: Speed = Distance / Time = 3000 km / 5 hours = 600 km/h.

📌 Find the distance traveled in 7 hours: Distance = Speed * Time = 600 km/h * 7 hours = 4200 kilometers.

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Likely a typo in interpretation. For realistic models, average cost ty...
But given: \( C(x) = 5000 + 120x - 0.5x^2 \). This implies fixed start...
But proceeding with given function.
To minimize \( P(x) = \frac{5000}{x} + 120 - 0.5x \), take derivative:
Set to zero:
No solution in reals — derivative never zero.
But this suggests no critical point. However, for minimum, consider be...
Wait — likely the model is \( C(x) = 5000 + 120x + 0.5x^2 \) for incre...
But assuming the function is correct as stated, and the goal is to min...
P'(x) = -\frac{5000}{x^2} - 0.5 = 0 \quad \text{has no solution}

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