1) x>0,y>0 represents first quadrant Q1.
2) draw the line 3x +5y = 30.
|
x |
0 |
10 |
|
y |
6 |
0 |
|
(x ,y ) |
(0,6) |
(10,0) |
3)plot the points and join them draw the line.
This line intersects x-axis at (10,0)
and y-intersects y- axis at (0,6)
|
point |
c =10x+20y |
value |
|
(0 ,0) |
c = 10*0+20*0 |
0 |
|
(10, 0 ) |
c= 10*10+20*0 |
100 |
|
(0 ,6) |
c= 10*0 +20*6 |
120 |
minimum value is 100 at the point (10,0)