The paint company is trying to recycle unpopular paint colors by mixing them together to develop more popular colors. All paints in question are composed of 4 basic pigments. Given table lists constituents of four unpopular color:
|
% |
% |
% |
% |
| Paint Number |
A |
B |
C |
D |
| 1 |
80 |
0 |
16 |
4 |
| 2 |
0 |
80 |
20 |
0 |
| 3 |
30 |
10 |
60 |
0 |
| 4 |
10 |
10 |
8 |
72 |
The more desirable color is 39% pigment A, 27% pigment B, 25.2% pigment C, and 8.8% pigment D. By using Gauss-Seidel method, find how much of each of unpopular paints must be added to form one gallone of popular color.