Question

Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region.

x+y≥73x+y≥9x+2y≥9x≥0y≥0x+y≥73x+y≥9x+2y≥9x≥0y≥0


The shape of the feasible region: ? Triangle Quadrilateral Unbounded

List the vertices (as a list of points such as "(2,3), (5,7), (0,0)"):

Answer 1

The shape of the feasible region is a quadrilateral and the vertices are (0,9), (0,73), (9,0), and (23,50).

Step-by-step explanation:

The given system of inequalities represents a quadrilateral feasible region. To determine the shape of the feasible region, we graph each inequality and shade the region that satisfies all the given inequalities. The vertices of the feasible region can be found at the intersection points of the boundary lines. The vertices of the feasible region are (0,9), (0,73), (9,0), and (23,50).