Answer the following question based on the information given below:
A health-drink company’s $\text{R & D}$ 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 $\text{(O, P, Q, R and S)},$ which can be used in different proportions in the formulations. The table below gives the compositions of these ingredients. The cost per unit of each of these ingredients is $\text{O: 150, P: 50, Q: 200, R: 500, S: 100.}$
| |
Composition |
| Ingredient |
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 |
Which among the following is the formulation having the lowest cost per unit for a diet having $10\%$ fat and at least $30\%$ protein? This diet has to be formed by mixing two ingredients.
- $\text{P and Q}$
- $\text{P and S}$
- $\text{P and R}$
- $\text{Q and S}$
- $\text{R and S}$