ABSTRACT
The feasible region can be shown graphically in the case of two decision variables (
N
= 2). Figure 11.1 illustrates the feasible region for the following example:
Maximize
Z
= 2
x
+
x
(11.9)
subject to the constraints
(11.10)
and
x
≥
x
≥
0 (11.11)
3 5 20 4 15
x x
x x
+ ≤ + ≤
The optimal solution
Z
(i.e., maximum
Z
) occurs at the point in
Figure 11.1. For this example, the point , giving
Z
= .