Problem

甲、填充題：共 8 題，每題 8 分，共 64 分。請在答案卷上列出題號依序作答。

7. The Cobb-Douglas production function for a software manufacturer is given by $f(x,y)=100x^{3/4}y^{1/4}$ where $x$ represents the units of labor (at $150 per unit) and $y$ represents the units of capital (at $250 per unit). The total cost of labor and capital is limited to $50,000. Find $x$ and $y$ that will yield the maximum production level for this manufacturer. Answer : \underline{\quad(1)\quad}