The feasible region shown below is bounded by lines 2𝑥 − 𝑦 = 2 , 𝑥 + 𝑦 = 2 , and y = 0.

Question

Find the coordinates of corner point A

Answer 1

2x - y = 4
x + y = 3

2x - y = 4
y = 0

x + y = 3
y = 0
.........................
3x = 7
x = 7/3

7/3 + y = 3
y = 3 - 7/3
y = 2/3

(7/3, 2/3)

2x = 4
x = 2
(2, 0)

x = 3
(3, 0)

corner points are
(7/3, 2/3), (2, 0), (3, 0)