$1$ point possible $($graded$)$ The expected prices that will be paid in the future for lactose, fat and protein are $\frac{0\mathrm{.}54}{k}g$ for lactose, $\frac{2\mathrm{.}69}{k}g$ for fat, and $\frac{5\mathrm{.}38}{k}g$ for protein. The expected costs of feed that are needed to produce these milk components are $0\mathrm{.}26$ per kg lactose, $0\mathrm{.}63$ per kg fat, and $1\mathrm{.}32$ per kg protein. What are the economic weights $v_{\text{l}\text{a}\text{c}\text{t}\text{o}\text{s}\text{e}},v_{\text{f}\text{a}\text{t}}$ and $v_{\text{p}\text{r}\text{o}\text{t}\text{e}\text{i}\text{n}}?$