Use the simplex method to maximize the following:
Maximize
f
=
6
x
1
+
10
x
2
\displaystyle {f}={6}{x}_{{1}}+{10}{x}_{{2}}
f
=
6
x
1
+
10
x
2
subject to
x
1
+
4
x
2
≤
32
\displaystyle {x}_{{1}}+{4}{x}_{{2}}\le{32}
x
1
+
4
x
2
≤
32
5
x
1
+
2
x
2
≤
8
\displaystyle {5}{x}_{{1}}+{2}{x}_{{2}}\le{8}
5
x
1
+
2
x
2
≤
8
2
x
1
+
x
2
≤
7
\displaystyle {2}{x}_{{1}}+{x}_{{2}}\le{7}
2
x
1
+
x
2
≤
7
x
1
≥
0
,
x
2
≥
0
\displaystyle {x}_{{1}}\ge{0},{x}_{{2}}\ge{0}
x
1
≥
0
,
x
2
≥
0
If no solutions exist enter DNE in all answerboxes.
x
1
=
\displaystyle {x}_{{1}}=
x
1
=
x
2
=
\displaystyle {x}_{{2}}=
x
2
=
f
=
\displaystyle {f}=
f
=
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