Let us assume that the total number of shares (also called the total holdings) held by Live Fund in Marks Brothers is .
Then obviously half the holdings (or half the number of shares) of Live Fund will be .
Thus, if each share is valued at $5000, then the total value of the number of shares sold (which is will be:
dollars or $
.
Thus, Live Fund will receive $ if they sold half their holding in Marks Brothers.
The given plane, , has normal vector
. Any plane parallel to this one has the same normal vector.
Let be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is
and this is perpendicular to .
So the equation of the plane is
or equivalently,