EXAMPLE 4 Drawing a Feasible Region

In the earlier clothing manufacturer example, we developed a resource constraint of . Draw the feasible region corresponding to that resource constraint, using the reality minimums of and .

First we find the two points where the line crosses the axes. When , we get , giving , which yields the point (0, 30). For , we get , or , so we have the point (20, 0). We draw the line connecting those points. Testing the point (0, 0), we find that the down side of the line we have drawn corresponds to . The feasible region is shown in Figure 4.4.