Question

The constraints of a problem are listed below. What are the vertices of the feasible region?

4x+3y s 12
2x+by s 15
x>0
y>0
(0,0), (0, 2.5), (1.5, 2), (3, 0)
(0, 0), (0, 4), (1.5, 2), (7.5, 0)
(0,2.5), (1.5, 2), (4,3)
(0,4), (1.5, 2), (7.5, 0)

Answer 1

The vertices of the feasible region are (0, 0), (0, 4), (1.5, 2), and (7.5, 0).

Step-by-step explanation:

The feasible region is the region that satisfies all the given constraints. To find the vertices of the feasible region, we need to find the points where the boundary lines intersect.

From the given constraints, the vertices of the feasible region are:

1. (0, 0)
2. (0, 4)
3. (1.5, 2)
4. (7.5, 0)

These points represent the corners of the feasible region on a graph.