Let
be the amount in treasury bills which yeilds
simple intrest.
Let
be the amount in treasury bonds which yeilds
simple interst.
Let
be the amount in corporate bonds which yeilds
simple intrest.
Since the total investment is
.
.
Total income of Kelly is
.
.
The investment on the treasury bills is to be
more than the investment in the corporate bonds.
Therefore,
.
Substiute
in equation
.

Substiute
in equation
.


Multiple to each side the equation
by
.

Add equation
and equation
to eliminate
.

Substiute
in
.

Substiute the value
and
in equation
.

The solution is
and
.
Therefore, kelly should invest
in treasury bills,
in treasury bonds and
in corporate bonds.
Kelly should invest
in treasury bills,
in treasury bonds and
in corporate bonds.