The system of inequalities are .
The objective function is .
Graph:
\Graph the inequalities and locate the vertices:
\Observe the graph:
\The vertex points are ,
and
.
\ \
Evaluate the function for each vertex.
\![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
\
| \
![]() | \
\
| \
![]() | \
Observe the table:
\The minimum value is at
.
There is no maximum value.
\There is no maximum value and minimum value is .