Food $\text{X}$ contains $6$ units of Vitamin $\text{D}$ per gram and $7$ units of Vitamin $\text{E}$ per gram and cost is Rs $12$ per gram. Food $\text{Y}$ contains $8$ units of vitamin $\text{D}$ per gram and $12$ units of Vitamin $\text{E}$ per gram and cost is Rs $20$ per gram. The daily minimum requirements of vitamin $\text{D}$ and $\text{E}$ are $100$ units and $120$ units respectively.
Suppose $x$ is quantity (in gram) of food $\mathrm{X}$, $y$ is quantity (in gram) of food $\mathrm{Y}$ .
Answering the following question based on the above paragraph given.
The minimum cost of food is :
- $205$
- $250$
- $330$
- $200$
