Mathematics

Mathematics

Problem

The fuel efficiency EE (in km/liter\text{km/liter}) of a vehicle is inversely proportional to its fuel consumption CC (in liters/km\text{liters/km}), such that E(v)=1C(v)E(v) = \frac{1}{C(v)}. If the consumption function is modeled by C(v)=0.001v2−0.16v+10C(v) = 0.001v^{2} - 0.16v + 10, where vv is speed in km/h\text{km/h}, find the speed vv at which the efficiency E(v)E(v) is maximized.

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