Question

Consider the system of inequalities given below.

y≤−1.6x+18
y≤1x+5
y≥0
x≥0​
This feasible region is Its corner points are ____

Answer 1

The corner points of the feasible region are (0, 0), (0, 18), and (11.25, 0).

Step-by-step explanation:

The given system of inequalities is:

y ≤ -1.6x + 18

y ≤ 1x + 5

y ≥ 0

x ≥ 0

To find the feasible region, we graph each inequality and shade the common region where all the inequalities are satisfied. The corner points of this region are the vertices of the polygon formed by the shaded region.

By graphing the inequalities, we can determine that the corner points of the feasible region are (0, 0), (0, 18), and (11.25, 0).