For predicting the flow on a highway, a theoretical speed-density model is established and assumed as \({\rm{V}} = {{\rm{V}}_{\rm{f}}}\ln \left( {\frac{{{{\rm{k}}_{\rm{j}}}}}{{\rm{k}}}} \right)\) where V is speed in km/hr and k is density in vehicles per km. Statistical analysis of vehicular data shows that the free stream speed, Vf = 80 km/hr and jam density, kj = 150 vehicles/ km. What is the maximum flow (in vehicles per hour corrected to next integer) obtained as per this model?
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