A botanist can buy plant food of 4 different kinds, I, II, III, and IV. Each food comes in the same size bag and following table summarizes the number of grams of each of three (3) materials that each bag haves.
|
I
|
II
|
III
|
IV
|
|
Nutrient A
|
5
|
5
|
10
|
5
|
|
Nutrient B
|
10
|
5
|
30
|
10
|
|
Nutrient C
|
5
|
15
|
10
|
25
|
The botanist desires to employ a food which has these nutrients in different proportion and finds out that he will need total of 10,000 g of A, 20,000 of B, and 20,000 of C. Determine the number of bags of each kind of food which should be ordered.