Question

Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given object function.

Answer 1

Refer to the figure shown below.

The feasible region that satisfies all the constraints is the shaded region.
The bounding vertices are
A (0, 3)
B (0, 0)
C (5, 0)
D (1.5, 3.5)

All the functions that define the constraints are either linear or constant.
The maximum value is at vertex D, and equal to 3.5.