Question

Minimise Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0

Answer 1

2x + y = 3

x	1	0
y	1	3

0 + 0  0 false

x + 2y = 6

x	6	0	2
y	0	3	2

0 + 0  6 false 

An and above O is the solution region 

At A(0,3) Z = 2 x 3 = 6 

At B(6,0) Z = 6 

Z is maximum at all points on line AB = 6 

Here minimum of Z occurs at 2 points A & B.