1. A village has 20 laborers to cultivate 50 acres of land, each acre can be planted with melons, fruits, or vegetables. According to the survey, the labor required per acre and the expected output value are shown in the table below. Please help to make a plan with the following requirements:
(1) All acres of land are planted with crops;
(2) All laborers are employed;
(3) The total output value is maximized.
\begin{tabular}{|c|c|c|}
\hline Crop & Labor Required (people) & Output Value \\
\hline Melon & $\frac{1}{2}$ & 0.6 million yuan \\
\hline Fruit & $\frac{1}{3}$ & 0.5 million yuan \\
\hline Vegetable & $\frac{1}{4}$ & 0.3 million yuan \\
\hline
\end{tabular}
1. Let $x$ people grow melons, $y$ people grow fruits, $z$ people grow vegetables. From the given information, we have $x+y+z=20, 2x+3y+4z=50$, which leads to $y=30-2x \geqslant 0, z=x-10 \geqslant 0$. Therefore, $10 \leqslant x \leqslant 15$. The total output value $Q=1.2x+1.5y+1.2z=-0.6x+33$. When $x=10$, $Q_{\max}=27$. Hence, assigning 10 people to grow melons on 20 acres, 10 people to grow fruits on 30 acres, the maximum total output value is 270,000 yuan.