Question

Consider the system of inequalities given below. y ≤-2 x+20 y ≤ 1.2 x+7.2 y ≥ 0 x ≥ 0 ] This feasible region is__ Its corner points are __

Answer 1

The feasible region is the shaded area where all the inequalities overlap. The corner points of the feasible region are found by solving the system of equations formed by the boundaries of the shaded area.

Step-by-step explanation:

The given system of inequalities is:

y ≤ -2x + 20

y ≤ 1.2x + 7.2

y ≥ 0

x ≥ 0

To find the feasible region, we need to graph the inequalities on a coordinate plane and shade the region that satisfies all of the conditions. The feasible region is the shaded region where all the inequalities overlap. The corner points of the feasible region can be found by determining the coordinates of the vertices of the shaded area.

To find the corner points, we need to solve the system of equations formed by the boundary lines of the feasible region.