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.
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| \
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\
| \
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\
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Observe the table:
\The minimum value is
at
.
There is no maximum value.
\There is no maximum value and minimum value is
.