The speed-density relationship of a highway is given as $u=100-0.5 k $ where, $u=$ speed in $k m$ per hour, $k=$ density in vehicles per $k m .$ The maximum flow (in vehicles per hour, round off to the nearest integer) is

The speed-density relationship of a highway is given as $u=100-0.5 k $ where, $u=$ speed in $k m$ per hour, $k=$ density in vehicles per $k m .$ The maximum flow (in vehicles per hour, round off to the nearest integer) is

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