Answer the question based on the information given below: A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q, R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50. Q: 200, R: 500, S: 100.
Ingredient |
Composition |
|||
Carbohydrate% |
Protein% |
Fat% |
Minerals% |
|
O |
50 |
30 |
10 |
10 |
P |
80 |
20 |
0 |
0 |
Q |
10 |
30 |
50 |
10 |
R |
5 |
50 |
40 |
5 |
S |
45 |
50 |
0 |
5 |
Question: For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?