Sum of the perpendicular distances of the vertical feeder lines is
.
Graph:
\Graph the function:
and label the minimum point.
Observe the graph:
\The sum of perpendicular distances is minimum when
.
The equation of the trunk line is
.
Substitute
.

The equation of the trunk line is
.
Find the sum of lengths of the feeder lines when
is minimum.

Substitute
in
.






Sum of the lengths of the feeder lines is
.
The equation of the trunk line is
.
Sum of the lengths of the feeder lines is
.