The yield function of stand of timber is
.
(a)
\Limiting volume of the wood as
approaches to infinity.

As
then
.

Limiting volume of the wood as
approaches to infinity is
.
(b)
\The rate of change in yield is the first derivative of function.
\
Apply derivative on each side with respect to
.



Substitute
.

The rate of change in yield when
is
.
Substitute
.

The rate of change in yield when
is
.
(a) Limiting volume of the wood as
approaches to infinity is
.
(b) The rate of change in yield when
is
.
The rate of change in yield when
is
.