Question

18x + 9y ≤ 90

9x + 18y ≤ 90
9x + 9y ≤ 54
x ≥ 0, y ≥ 0
Find the 5 coordinates for the corners

Answer 1

To find the coordinates for the corners of the feasible region, graph the system of inequalities and identify the points of intersection.

Step-by-step explanation:

To find the coordinates for the corners, we need to graph the system of inequalities and identify the points where the lines intersect. Let's solve the system:

18x + 9y ≤ 90

9x + 18y ≤ 90

9x + 9y ≤ 54

First, we graph the lines 18x + 9y = 90, 9x + 18y = 90, and 9x + 9y = 54. Then, we find the points of intersection to determine the corners of the feasible region. The 5 coordinates for the corners are:

1. (0, 0)
2. (0, 10)
3. (6, 0)
4. (3, 3)
5. (6, 6)