Triangle ABC has an obtuse angle at

B, base
BC has
length equal to 30 and height equal to
24. (This height is
taken with respect to base BC).
D is a point on the line
segment BC and
E is a point on
AC such that
DE∥AB.
F is a point on
AB such that
FD∥AC. As
D varies
within line segment BC, what is the maximum value of
area of triangle DEF