is a straight line. In this case tracing the graph
of the constraints of the problem in the first
quadrant, we get the following shaded region
as opportunity set.
Fig. 6 Optimal solution by graphical method
Considering the inequalities to equalities
)
7
(
)
6
(
)
7
(
2
2
)
6
(
1
2
1
2
2
2
1
and
Solving
x
x
x
x
=
+
=
+
We get
⎟
⎠
⎞
⎜
⎝
⎛
=
5
4
,
5
3
),
0
,
1
(
)
,
(
2
1
x
x
The extreme points of the convex region are
O(0, 0), A (1,0) B
(
)
5
/
4
,
5
/
3
and C(0,1).
B
C
A
O
D
C
B
A
O