Consider the amount invested in treasury bills is and the amount invested in corporate bonds is
.
(a)
\The total investment cannot exceed , hence
.
The amount invested in treasury bills must be at least , hence
.
The amount invested in corporate bonds must not exceed , hence
.
A non negative amount must be invested , hence ,
.
Therefore, the system of inequalities are
(b)
\Graph the system and label the corner points.
\Graph :
\Graph the system of equations .
\
Observe the graph:
\The corner points are ,
,
and
.
(a) The system of inequalities are
(b)
\Graph :
\Graph the system of equations .
\
Observe the graph:
\The corner points are ,
,
and
.